Cremona's table of elliptic curves

7656 = 2³ · 3 · 11 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3+ 11- 29+	Signs for the Atkin-Lehner involutions
Class	7656b	Isogeny class
Conductor	7656	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-2277958090586112 = -1 · 211 · 320 · 11 · 29	Discriminant
Eigenvalues	2+ 3+  2 -4 11- -6 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6072,2305548]	[a1,a2,a3,a4,a6]
j	-12090954048626/1112284223919	j-invariant
L	0.75858387475136	L(r)(E,1)/r!
Ω	0.37929193737568	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15312f4 61248r3 22968r3 84216o3	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 7656b4

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	-4	-	-6	-2	0	-8	+	-8	6	6	-8	4	10	8	-2	-12	16	-10	8	-12	14	2

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Quadratic twists for elliptic curve 7656b4

-4	8	-3	-11
15312f4	61248r3	22968r3	84216o3

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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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