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	90a	Isogeny class
Conductor	90	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	3936600 = 23 · 39 · 52	Discriminant
Eigenvalues	2+ 3+ 5-  2  6 -4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1149,-14707]	[a1,a2,a3,a4,a6]
j	8527173507/200	j-invariant
L	0.81997845705798	L(r)(E,1)/r!
Ω	0.81997845705798	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	720g4 2880c4 90b2 450e4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 90a4

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

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Quadratic twists for elliptic curve 90a4

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
720g4	2880c4	90b2	450e4	4410c4	10890bi4	15210z4	26010c4	32490bf4	47610f4	75690z4	86490j4	123210cc4

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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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