Cremona's table of elliptic curves

4602 = 2 · 3 · 13 · 59

Field	Data	Notes
Atkin-Lehner	2+ 3+ 13+ 59+	Signs for the Atkin-Lehner involutions
Class	4602a	Isogeny class
Conductor	4602	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1902776617462136832 = 222 · 33 · 136 · 592	Discriminant
Eigenvalues	2+ 3+  0  2  4 13+ -2  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-603977075,-5713443348243]	[a1,a2,a3,a4,a6]
Generators	[5171164937654492226105511216962:1154291353542142109153184081473631:84220615227880280460842803]	Generators of the group modulo torsion
j	24366046958185123069285884765625/1902776617462136832	j-invariant
L	2.6416005353995	L(r)(E,1)/r!
Ω	0.030454006840725	Real period
R	43.370328069064	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	36816p2 13806h2 115050by2 59826p2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 4602a2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	+	0	2	4	+	-2	6	0	-10	-8	-6	-8	6	0	-2	+	6	-8	-8	6	12	4	-14	-6

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Quadratic twists for elliptic curve 4602a2

-4	-3	5	13
36816p2	13806h2	115050by2	59826p2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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