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	224	Product of Tamagawa factors cp
Δ	43845063268368384 = 218 · 314 · 112 · 172	Discriminant
Eigenvalues	2- 3- -2  0 11+  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1586344,-769494604]	[a1,a2,a3,a4,a6]
Generators	[-724:198:1]	Generators of the group modulo torsion
j	107784459654566688937/10704361149504	j-invariant
L	4.643483705783	L(r)(E,1)/r!
Ω	0.1345249307967	Real period
R	2.4655460188058	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	1122c2 35904bx2 26928bt2 98736dl2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 8976y2

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 8976y2

-4	8	-3	-11
1122c2	35904bx2	26928bt2	98736dl2

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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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