Cremona's table of elliptic curves

8976 = 2⁴ · 3 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 17+	Signs for the Atkin-Lehner involutions
Class	8976y	Isogeny class
Conductor	8976	Conductor
∏ cp	56	Product of Tamagawa factors cp
deg	64512	Modular degree for the optimal curve
Δ	33709867822743552 = 224 · 37 · 11 · 174	Discriminant
Eigenvalues	2- 3- -2  0 11+  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-106664,-10122828]	[a1,a2,a3,a4,a6]
Generators	[-212:1734:1]	Generators of the group modulo torsion
j	32765849647039657/8229948198912	j-invariant
L	4.643483705783	L(r)(E,1)/r!
Ω	0.2690498615934	Real period
R	1.2327730094029	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	1122c1 35904bx1 26928bt1 98736dl1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 8976y1

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	0	+	2	+	4	4	-6	-8	6	6	-12	-8	2	8	-2	-12	4	14	-8	-4	18	-14

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Quadratic twists for elliptic curve 8976y1

-4	8	-3	-11
1122c1	35904bx1	26928bt1	98736dl1

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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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