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	90b	Isogeny class
Conductor	90	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	5400 = 23 · 33 · 52	Discriminant
Eigenvalues	2- 3+ 5+  2 -6 -4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-128,587]	[a1,a2,a3,a4,a6]
j	8527173507/200	j-invariant
L	1.3236980861804	L(r)(E,1)/r!
Ω	3.9710942585413	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	720f2 2880g2 90a4 450f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 90b2

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 90b2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
720f2	2880g2	90a4	450f2	4410z2	10890c2	15210d2	26010bd2	32490b2	47610bm2	75690a2	86490bx2	123210m2

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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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