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	990h	Isogeny class
Conductor	990	Conductor
∏ cp	216	Product of Tamagawa factors cp
Δ	235516723200 = 218 · 33 · 52 · 113	Discriminant
Eigenvalues	2- 3+ 5+ -4 11- -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1568,-4669]	[a1,a2,a3,a4,a6]
Generators	[-35:97:1]	Generators of the group modulo torsion
j	15781142246787/8722841600	j-invariant
L	3.0762047385226	L(r)(E,1)/r!
Ω	0.81239631416681	Real period
R	0.63109689299808	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	7920u1 31680e1 990b3 4950d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 990h3

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
-	+	+	-4	-	-4	-6	2	-6	-6	8	2	-6	-10	-6	6	0	8	-4	-6	14	-16	12	0	14

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Quadratic twists for elliptic curve 990h3

-4	8	-3	5	-7	-11
7920u1	31680e1	990b3	4950d1	48510cj1	10890e1

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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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