Cremona's table of elliptic curves

7896 = 2³ · 3 · 7 · 47

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 47+	Signs for the Atkin-Lehner involutions
Class	7896h	Isogeny class
Conductor	7896	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	6680016 = 24 · 33 · 7 · 472	Discriminant
Eigenvalues	2- 3+  2 7- -2  0 -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-47,0]	[a1,a2,a3,a4,a6]
Generators	[9:15:1]	Generators of the group modulo torsion
j	733001728/417501	j-invariant
L	4.1636700989825	L(r)(E,1)/r!
Ω	1.9682115517157	Real period
R	2.1154586230088	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	15792i1 63168bn1 23688m1 55272bp1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7896h1

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	0	-2	2	-6	0	10	-6	-6	8	+	-6	-12	-6	8	0	-8	8	-4	-6	-14

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Quadratic twists for elliptic curve 7896h1

-4	8	-3	-7
15792i1	63168bn1	23688m1	55272bp1

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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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