Cremona's table of elliptic curves

7434 = 2 · 3² · 7 · 59

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 59-	Signs for the Atkin-Lehner involutions
Class	7434a	Isogeny class
Conductor	7434	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	4195677802428 = 22 · 316 · 7 · 592	Discriminant
Eigenvalues	2+ 3-  0 7+  0  0  0  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-4032,1012]	[a1,a2,a3,a4,a6]
Generators	[-19:275:1]	Generators of the group modulo torsion
j	9945310362625/5755387932	j-invariant
L	2.9982830543413	L(r)(E,1)/r!
Ω	0.65809613962085	Real period
R	1.1389988763909	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	59472bi2 2478d2 52038f2	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 7434a2

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

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Quadratic twists for elliptic curve 7434a2

-4	-3	-7
59472bi2	2478d2	52038f2

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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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