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	8	Product of Tamagawa factors cp
Δ	24603750 = 2 · 39 · 54	Discriminant
Eigenvalues	2- 3- 5- -4  0  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-2597,-50281]	[a1,a2,a3,a4,a6]
j	2656166199049/33750	j-invariant
L	1.3375959945886	L(r)(E,1)/r!
Ω	0.66879799729432	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	720j5 2880n4 30a5 450g4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 90c4

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 90c4

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
720j5	2880n4	30a5	450g4	4410bb5	10890ba5	15210n4	26010bm5	32490ba5	47610bz5	75690t5	86490cx5	123210bi5

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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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