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	7056br	Isogeny class
Conductor	7056	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	9216	Modular degree for the optimal curve
Δ	-1815497249328 = -1 · 24 · 39 · 78	Discriminant
Eigenvalues	2- 3-  0 7- -6 -2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,2940,20923]	[a1,a2,a3,a4,a6]
j	2048000/1323	j-invariant
L	1.0430283475744	L(r)(E,1)/r!
Ω	0.52151417378719	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1764f1 28224fi1 2352t1 1008j1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7056br1

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

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Quadratic twists for elliptic curve 7056br1

-4	8	-3	-7
1764f1	28224fi1	2352t1	1008j1

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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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