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	8976bf	Isogeny class
Conductor	8976	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-391724179621429248 = -1 · 214 · 38 · 118 · 17	Discriminant
Eigenvalues	2- 3- -2  0 11- -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-389504,98162100]	[a1,a2,a3,a4,a6]
Generators	[-428:13662:1]	Generators of the group modulo torsion
j	-1595514095015181697/95635786040388	j-invariant
L	4.6438490755045	L(r)(E,1)/r!
Ω	0.29598143831432	Real period
R	1.9612078978467	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1122e6 35904bt5 26928bc5 98736dc5	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 8976bf6

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

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Quadratic twists for elliptic curve 8976bf6

-4	8	-3	-11
1122e6	35904bt5	26928bc5	98736dc5

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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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