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	7056v	Isogeny class
Conductor	7056	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	49796495981568 = 210 · 310 · 77	Discriminant
Eigenvalues	2+ 3-  2 7-  0  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-67179,-6693302]	[a1,a2,a3,a4,a6]
Generators	[371:4410:1]	Generators of the group modulo torsion
j	381775972/567	j-invariant
L	4.8183149646866	L(r)(E,1)/r!
Ω	0.29657183704498	Real period
R	2.0308380478301	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	3528x3 28224ga4 2352i3 1008g3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7056v3

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

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Quadratic twists for elliptic curve 7056v3

-4	8	-3	-7
3528x3	28224ga4	2352i3	1008g3

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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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