Cremona's table of elliptic curves

70756 = 2² · 7² · 19²

Field	Data	Notes
Atkin-Lehner	2- 7- 19-	Signs for the Atkin-Lehner involutions
Class	70756g	Isogeny class
Conductor	70756	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	20736	Modular degree for the optimal curve
Δ	679540624 = 24 · 76 · 192	Discriminant
Eigenvalues	2- -1  1 7- -4 -1 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-310,1793]	[a1,a2,a3,a4,a6]
Generators	[-16:49:1] [-2:49:1]	Generators of the group modulo torsion
j	4864	j-invariant
L	8.9803391119572	L(r)(E,1)/r!
Ω	1.5264211969363	Real period
R	0.49027201284046	Regulator
r	2	Rank of the group of rational points
S	0.99999999999838	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1444b1 70756b1	Quadratic twists by: -7 -19

Hecke Eigenvalues for elliptic curve 70756g1

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
-	-1	1	-	-4	-1	-3	-	5	-7	4	-10	-5	-5	7	-11	3	-11	3	-11	-15	13	0	3	-5

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Quadratic twists for elliptic curve 70756g1

-7	-19
1444b1	70756b1

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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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