Cremona's table of elliptic curves

468 = 2² · 3² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 13+	Signs for the Atkin-Lehner involutions
Class	468a	Isogeny class
Conductor	468	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	1168128 = 28 · 33 · 132	Discriminant
Eigenvalues	2- 3+  4  4 -4 13+  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2703,-54090]	[a1,a2,a3,a4,a6]
j	315978926832/169	j-invariant
L	1.9863661782927	L(r)(E,1)/r!
Ω	0.66212205943088	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	1872l2 7488j2 468b2 11700f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 468a2

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
-	+	4	4	-4	+	0	0	-8	-8	4	6	12	-8	-4	0	4	-2	-8	-4	-10	-4	12	-12	14

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Quadratic twists for elliptic curve 468a2

-4	8	-3	5	-7	-11	13
1872l2	7488j2	468b2	11700f2	22932f2	56628c2	6084e2

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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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