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	-15306287040000 = -1 · 29 · 33 · 54 · 116	Discriminant
Eigenvalues	2- 3+ 5+ -4 11- -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,6112,-41533]	[a1,a2,a3,a4,a6]
Generators	[13:193:1]	Generators of the group modulo torsion
j	935355271080573/566899520000	j-invariant
L	3.0762047385226	L(r)(E,1)/r!
Ω	0.40619815708341	Real period
R	1.2621937859962	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	7920u2 31680e2 990b4 4950d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 990h4

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 990h4

-4	8	-3	5	-7	-11
7920u2	31680e2	990b4	4950d2	48510cj2	10890e2

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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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