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	4	Product of Tamagawa factors cp
Δ	615093750 = 2 · 39 · 56	Discriminant
Eigenvalues	2- 3+ 5+  2 -6 -4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-218,-269]	[a1,a2,a3,a4,a6]
j	57960603/31250	j-invariant
L	1.3236980861804	L(r)(E,1)/r!
Ω	1.3236980861804	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	720f4 2880g4 90a2 450f4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 90b4

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 90b4

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
720f4	2880g4	90a2	450f4	4410z4	10890c4	15210d4	26010bd4	32490b4	47610bm4	75690a4	86490bx4	123210m4

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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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