Cremona's table of elliptic curves

7056 = 2⁴ · 3² · 7²

Field	Data	Notes
Atkin-Lehner	2- 3+ 7-	Signs for the Atkin-Lehner involutions
Class	7056bi	Isogeny class
Conductor	7056	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	3456	Modular degree for the optimal curve
Δ	-43352064 = -1 · 215 · 33 · 72	Discriminant
Eigenvalues	2- 3+  3 7- -3 -2  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1491,22162]	[a1,a2,a3,a4,a6]
Generators	[23:6:1]	Generators of the group modulo torsion
j	-67645179/8	j-invariant
L	4.8971207862988	L(r)(E,1)/r!
Ω	1.950381969989	Real period
R	0.62771304052899	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	882b1 28224ec1 7056bj2 7056be1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7056bi1

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
-	+	3	-	-3	-2	6	2	-6	-9	-7	-10	0	4	-12	3	3	4	-2	0	-2	-5	-9	-6	13

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Quadratic twists for elliptic curve 7056bi1

-4	8	-3	-7
882b1	28224ec1	7056bj2	7056be1

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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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