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	8976q	Isogeny class
Conductor	8976	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	9216	Modular degree for the optimal curve
Δ	2500067328 = 218 · 3 · 11 · 172	Discriminant
Eigenvalues	2- 3+  4  2 11+  0 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3136,68608]	[a1,a2,a3,a4,a6]
j	832972004929/610368	j-invariant
L	2.8686624886057	L(r)(E,1)/r!
Ω	1.4343312443028	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1122n1 35904cy1 26928ca1 98736cu1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 8976q1

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

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Quadratic twists for elliptic curve 8976q1

-4	8	-3	-11
1122n1	35904cy1	26928ca1	98736cu1

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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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