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	990j	Isogeny class
Conductor	990	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	7938810000 = 24 · 38 · 54 · 112	Discriminant
Eigenvalues	2- 3- 5+ -4 11+ -2  2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-923,-9669]	[a1,a2,a3,a4,a6]
Generators	[-19:36:1]	Generators of the group modulo torsion
j	119168121961/10890000	j-invariant
L	3.0722751578185	L(r)(E,1)/r!
Ω	0.87130108211079	Real period
R	0.8815193797234	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	7920be2 31680by2 330e2 4950l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 990j2

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

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Quadratic twists for elliptic curve 990j2

-4	8	-3	5	-7	-11
7920be2	31680by2	330e2	4950l2	48510dt2	10890q2

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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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