Cremona's table of elliptic curves

90972 = 2² · 3² · 7 · 19²

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 19-	Signs for the Atkin-Lehner involutions
Class	90972n	Isogeny class
Conductor	90972	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	10637568	Modular degree for the optimal curve
Δ	-1.5764958638289E+23	Discriminant
Eigenvalues	2- 3-  3 7- -3  4 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-14465631,-28519708282]	[a1,a2,a3,a4,a6]
Generators	[33663982450447:704496898056762:7088952961]	Generators of the group modulo torsion
j	-292571728/137781	j-invariant
L	8.8549749654715	L(r)(E,1)/r!
Ω	0.037851909020736	Real period
R	19.494778454944	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	30324f1 90972h1	Quadratic twists by: -3 -19

Hecke Eigenvalues for elliptic curve 90972n1

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
-	-	3	-	-3	4	-3	-	0	0	-8	-11	9	8	-12	12	-12	2	4	-12	2	10	-6	-15	-8

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Quadratic twists for elliptic curve 90972n1

-3	-19
30324f1	90972h1

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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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