Cremona's table of elliptic curves

990 = 2 · 3² · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 11-	Signs for the Atkin-Lehner involutions
Class	990f	Isogeny class
Conductor	990	Conductor
∏ cp	9	Product of Tamagawa factors cp
Δ	-242574750 = -1 · 2 · 36 · 53 · 113	Discriminant
Eigenvalues	2+ 3- 5- -1 11-  2  3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,81,675]	[a1,a2,a3,a4,a6]
j	80062991/332750	j-invariant
L	1.2550458447082	L(r)(E,1)/r!
Ω	1.2550458447082	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	7920bf2 31680h2 110b2 4950bj2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 990f2

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	-	2	3	-1	-6	9	5	5	6	8	-6	-9	-6	5	8	9	-10	14	6	15	8

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Quadratic twists for elliptic curve 990f2

-4	8	-3	5	-7	-11
7920bf2	31680h2	110b2	4950bj2	48510z2	10890bz2

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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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