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	36	Product of Tamagawa factors cp
Δ	59049000 = 23 · 310 · 53	Discriminant
Eigenvalues	2- 3- 5- -4  0  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-48002,4059929]	[a1,a2,a3,a4,a6]
j	16778985534208729/81000	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	6	Number of elements in the torsion subgroup
Twists	720j7 2880n8 30a7 450g8	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 90c8

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 90c8

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
720j7	2880n8	30a7	450g8	4410bb7	10890ba7	15210n8	26010bm7	32490ba7	47610bz7	75690t7	86490cx7	123210bi7

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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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