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	990k	Isogeny class
Conductor	990	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-2026257208593750 = -1 · 2 · 311 · 58 · 114	Discriminant
Eigenvalues	2- 3- 5-  0 11+  2  2  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,9148,2137101]	[a1,a2,a3,a4,a6]
j	116149984977671/2779502343750	j-invariant
L	2.7930529566693	L(r)(E,1)/r!
Ω	0.34913161958366	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7920bj4 31680t3 330a4 4950h4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 990k4

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

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Quadratic twists for elliptic curve 990k4

-4	8	-3	5	-7	-11
7920bj4	31680t3	330a4	4950h4	48510cv3	10890v4

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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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