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	8976i	Isogeny class
Conductor	8976	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	-1120635648 = -1 · 28 · 34 · 11 · 173	Discriminant
Eigenvalues	2+ 3- -4  3 11+ -4 17- -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,135,1539]	[a1,a2,a3,a4,a6]
Generators	[6:51:1]	Generators of the group modulo torsion
j	1055028224/4377483	j-invariant
L	4.216313109141	L(r)(E,1)/r!
Ω	1.1047061396589	Real period
R	0.31805691409504	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	4488c1 35904cg1 26928t1 98736be1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 8976i1

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
+	-	-4	3	+	-4	-	-6	2	5	0	2	9	2	7	9	-3	-10	-13	-6	-11	8	-6	-11	-14

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Quadratic twists for elliptic curve 8976i1

-4	8	-3	-11
4488c1	35904cg1	26928t1	98736be1

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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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