Cremona's table of elliptic curves

7524 = 2² · 3² · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 19-	Signs for the Atkin-Lehner involutions
Class	7524g	Isogeny class
Conductor	7524	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	-741083904 = -1 · 28 · 36 · 11 · 192	Discriminant
Eigenvalues	2- 3- -1  0 11- -2  4 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-48,1316]	[a1,a2,a3,a4,a6]
Generators	[-4:38:1]	Generators of the group modulo torsion
j	-65536/3971	j-invariant
L	3.9603556036719	L(r)(E,1)/r!
Ω	1.323804714835	Real period
R	0.49860773260723	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	30096v1 120384o1 836a1 82764h1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 7524g1

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	0	-	-2	4	-	-1	2	-5	-3	0	2	0	10	3	-6	-3	-5	0	-4	4	-1	-1

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Quadratic twists for elliptic curve 7524g1

-4	8	-3	-11
30096v1	120384o1	836a1	82764h1

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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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