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	4	Product of Tamagawa factors cp
Δ	3874204890 = 2 · 318 · 5	Discriminant
Eigenvalues	2- 3- 5- -4  0  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-617,5231]	[a1,a2,a3,a4,a6]
j	35578826569/5314410	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	2	Number of elements in the torsion subgroup
Twists	720j4 2880n5 30a4 450g5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 90c5

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 90c5

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
720j4	2880n5	30a4	450g5	4410bb4	10890ba4	15210n5	26010bm4	32490ba4	47610bz4	75690t4	86490cx4	123210bi4

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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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