Cremona's table of elliptic curves

79524 = 2² · 3² · 47²

Field	Data	Notes
Atkin-Lehner	2- 3- 47-	Signs for the Atkin-Lehner involutions
Class	79524g	Isogeny class
Conductor	79524	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	46080	Modular degree for the optimal curve
Δ	58127590656 = 28 · 37 · 473	Discriminant
Eigenvalues	2- 3- -1 -1  3  0 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1128,8836]	[a1,a2,a3,a4,a6]
Generators	[-19:153:1] [0:94:1]	Generators of the group modulo torsion
j	8192/3	j-invariant
L	10.421000692526	L(r)(E,1)/r!
Ω	1.0184775221978	Real period
R	0.85266164981425	Regulator
r	2	Rank of the group of rational points
S	1.0000000000015	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	26508d1 79524f1	Quadratic twists by: -3 -47

Hecke Eigenvalues for elliptic curve 79524g1

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	3	0	-4	-2	-7	-9	8	-7	-2	-8	-	-4	-8	-2	-2	-4	-14	-1	-4	-4	9

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Quadratic twists for elliptic curve 79524g1

-3	-47
26508d1	79524f1

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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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