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	8976t	Isogeny class
Conductor	8976	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	-430848 = -1 · 28 · 32 · 11 · 17	Discriminant
Eigenvalues	2- 3+ -2  1 11-  2 17+  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,11,25]	[a1,a2,a3,a4,a6]
Generators	[1:6:1]	Generators of the group modulo torsion
j	524288/1683	j-invariant
L	3.3383990181098	L(r)(E,1)/r!
Ω	2.1052661218995	Real period
R	0.39643432525977	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	2244c1 35904cj1 26928bi1 98736co1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 8976t1

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	1	-	2	+	2	-6	-3	8	-4	5	8	-7	-9	-1	-2	11	4	-5	0	8	-9	8

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Quadratic twists for elliptic curve 8976t1

-4	8	-3	-11
2244c1	35904cj1	26928bi1	98736co1

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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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