Cremona's table of elliptic curves

90 = 2 · 3² · 5

Field	Data	Notes
Atkin-Lehner	2- 3- 5-	Signs for the Atkin-Lehner involutions
Class	90c	Isogeny class
Conductor	90	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	16	Modular degree for the optimal curve
Δ	-1574640 = -1 · 24 · 39 · 5	Discriminant
Eigenvalues	2- 3- 5- -4  0  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,13,-61]	[a1,a2,a3,a4,a6]
j	357911/2160	j-invariant
L	1.3375959945886	L(r)(E,1)/r!
Ω	1.3375959945886	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	720j1 2880n1 30a1 450g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 90c1

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
-	-	-	-4	0	2	-6	-4	0	6	8	2	6	-4	0	6	0	-10	-4	0	2	8	-12	-18	2

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Quadratic twists for elliptic curve 90c1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
720j1	2880n1	30a1	450g1	4410bb1	10890ba1	15210n1	26010bm1	32490ba1	47610bz1	75690t1	86490cx1	123210bi1

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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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