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	8	Product of Tamagawa factors cp
Δ	1398026205580950 = 2 · 326 · 52 · 11	Discriminant
Eigenvalues	2- 3- 5-  0 11+  2  2  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-37472,-2125731]	[a1,a2,a3,a4,a6]
j	7981893677157049/1917731420550	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	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7920bj3 31680t4 330a3 4950h3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 990k3

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 990k3

-4	8	-3	5	-7	-11
7920bj3	31680t4	330a3	4950h3	48510cv4	10890v3

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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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