Cremona's table of elliptic curves

3596 = 2² · 29 · 31

Field	Data	Notes
Atkin-Lehner	2- 29+ 31-	Signs for the Atkin-Lehner involutions
Class	3596a	Isogeny class
Conductor	3596	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-295032367216 = -1 · 24 · 296 · 31	Discriminant
Eigenvalues	2- -2 -3 -1  0 -4  0  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,558,-25451]	[a1,a2,a3,a4,a6]
Generators	[2487:24389:27]	Generators of the group modulo torsion
j	1198747703552/18439522951	j-invariant
L	1.7735898292656	L(r)(E,1)/r!
Ω	0.47508703299432	Real period
R	1.8665946511813	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14384c2 57536n2 32364q2 89900d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3596a2

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	-3	-1	0	-4	0	5	6	+	-	8	-3	-4	0	6	9	8	-4	-15	2	-10	6	0	-1

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Quadratic twists for elliptic curve 3596a2

-4	8	-3	5	29	-31
14384c2	57536n2	32364q2	89900d2	104284b2	111476e2

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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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