Cremona's table of elliptic curves

9090 = 2 · 3² · 5 · 101

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 101-	Signs for the Atkin-Lehner involutions
Class	9090a	Isogeny class
Conductor	9090	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	22400	Modular degree for the optimal curve
Δ	-8935833600000 = -1 · 220 · 33 · 55 · 101	Discriminant
Eigenvalues	2+ 3+ 5+  1  3  0  7  3	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,4170,98676]	[a1,a2,a3,a4,a6]
j	296967914223813/330956800000	j-invariant
L	1.9459718213454	L(r)(E,1)/r!
Ω	0.48649295533636	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	72720y1 9090n1 45450bn1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 9090a1

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
+	+	+	1	3	0	7	3	7	2	5	12	7	-10	11	-6	12	-10	5	-8	-1	3	-10	9	-12

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Quadratic twists for elliptic curve 9090a1

-4	-3	5
72720y1	9090n1	45450bn1

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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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