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	8976g	Isogeny class
Conductor	8976	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	44963748808704 = 211 · 36 · 116 · 17	Discriminant
Eigenvalues	2+ 3+ -2  2 11- -4 17- -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-12704,451104]	[a1,a2,a3,a4,a6]
Generators	[-6:726:1]	Generators of the group modulo torsion
j	110725946217794/21954955473	j-invariant
L	3.28660570131	L(r)(E,1)/r!
Ω	0.60625819657724	Real period
R	0.90352199768605	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4488h2 35904cn2 26928i2 98736k2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 8976g2

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	2	-	-4	-	-6	6	2	4	6	6	2	-12	-4	2	2	-4	-14	4	10	4	14	2

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Quadratic twists for elliptic curve 8976g2

-4	8	-3	-11
4488h2	35904cn2	26928i2	98736k2

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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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