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	990b	Isogeny class
Conductor	990	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-6380859375000 = -1 · 23 · 33 · 512 · 112	Discriminant
Eigenvalues	2+ 3+ 5- -4 11+ -4  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-10614,440748]	[a1,a2,a3,a4,a6]
j	-4898016158612283/236328125000	j-invariant
L	0.99273637058795	L(r)(E,1)/r!
Ω	0.74455227794096	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	7920x2 31680c2 990h2 4950x2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 990b2

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 990b2

-4	8	-3	5	-7	-11
7920x2	31680c2	990h2	4950x2	48510d2	10890bk2

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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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