Cremona's table of elliptic curves

3245 = 5 · 11 · 59

Field	Data	Notes
Atkin-Lehner	5+ 11+ 59+	Signs for the Atkin-Lehner involutions
Class	3245a	Isogeny class
Conductor	3245	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	432	Modular degree for the optimal curve
Δ	-191455 = -1 · 5 · 11 · 592	Discriminant
Eigenvalues	1 -2 5+  4 11+  2  2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-19,-39]	[a1,a2,a3,a4,a6]
Generators	[2990:56321:8]	Generators of the group modulo torsion
j	-702595369/191455	j-invariant
L	2.9942575423772	L(r)(E,1)/r!
Ω	1.1345778953289	Real period
R	5.2781876937751	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	51920t1 29205r1 16225a1 35695b1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 3245a1

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
1	-2	+	4	+	2	2	-6	-4	6	0	-4	10	-4	8	-14	+	12	-8	-4	-6	-6	-12	-2	-8

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Quadratic twists for elliptic curve 3245a1

-4	-3	5	-11
51920t1	29205r1	16225a1	35695b1

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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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