Cremona's table of elliptic curves

4620 = 2² · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	4620j	Isogeny class
Conductor	4620	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-98438558526000 = -1 · 24 · 34 · 53 · 73 · 116	Discriminant
Eigenvalues	2- 3- 5+ 7- 11+  2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,10299,260424]	[a1,a2,a3,a4,a6]
j	7549996227362816/6152409907875	j-invariant
L	2.3205553045423	L(r)(E,1)/r!
Ω	0.38675921742372	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18480bo3 73920bu3 13860x3 23100b3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4620j3

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
-	-	+	-	+	2	-6	8	-6	6	2	2	0	8	-12	6	6	8	2	0	-10	8	12	6	2

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Quadratic twists for elliptic curve 4620j3

-4	8	-3	5	-7	-11
18480bo3	73920bu3	13860x3	23100b3	32340n3	50820m3

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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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