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	8976s	Isogeny class
Conductor	8976	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-135596913408 = -1 · 28 · 34 · 113 · 173	Discriminant
Eigenvalues	2- 3+  0  1 11- -4 17+ -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-32493,2265345]	[a1,a2,a3,a4,a6]
Generators	[93:198:1]	Generators of the group modulo torsion
j	-14820625871872000/529675443	j-invariant
L	3.7249267490553	L(r)(E,1)/r!
Ω	0.97041957383859	Real period
R	0.3198725281204	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	2244b2 35904ch2 26928bg2 98736ce2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 8976s2

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
-	+	0	1	-	-4	+	-2	6	3	4	2	-9	-2	3	9	9	2	7	-6	-13	-8	-6	-3	-10

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Quadratic twists for elliptic curve 8976s2

-4	8	-3	-11
2244b2	35904ch2	26928bg2	98736ce2

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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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