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	8976bc	Isogeny class
Conductor	8976	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-543176581128192 = -1 · 213 · 38 · 112 · 174	Discriminant
Eigenvalues	2- 3-  2 -4 11+ -2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,12848,-966892]	[a1,a2,a3,a4,a6]
j	57258048889007/132611470002	j-invariant
L	2.1527676985785	L(r)(E,1)/r!
Ω	0.26909596232231	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1122h4 35904cf3 26928bp3 98736db3	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 8976bc4

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	-4	+	-2	-	-4	4	-6	4	2	10	-4	8	6	4	-6	-12	12	2	-4	4	10	10

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Quadratic twists for elliptic curve 8976bc4

-4	8	-3	-11
1122h4	35904cf3	26928bp3	98736db3

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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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