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	7056y	Isogeny class
Conductor	7056	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	-246903552 = -1 · 28 · 39 · 72	Discriminant
Eigenvalues	2+ 3-  2 7- -6  3  4 -5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-84,812]	[a1,a2,a3,a4,a6]
Generators	[1:27:1]	Generators of the group modulo torsion
j	-7168/27	j-invariant
L	4.5477173171046	L(r)(E,1)/r!
Ω	1.5334748548661	Real period
R	0.7414072201239	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	3528z1 28224ge1 2352e1 7056p1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7056y1

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	-	-6	3	4	-5	-4	4	7	-9	-2	1	-2	-8	0	-10	15	-6	11	-1	-6	-8	14

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Quadratic twists for elliptic curve 7056y1

-4	8	-3	-7
3528z1	28224ge1	2352e1	7056p1

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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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