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	990c	Isogeny class
Conductor	990	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	-780416778240 = -1 · 216 · 39 · 5 · 112	Discriminant
Eigenvalues	2+ 3- 5+  0 11+  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,2295,-4595]	[a1,a2,a3,a4,a6]
j	1833318007919/1070530560	j-invariant
L	1.057461402067	L(r)(E,1)/r!
Ω	0.52873070103352	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	7920bc1 31680bu1 330c1 4950be1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 990c1

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	+	6	-2	-4	0	10	0	6	-2	4	8	10	4	-2	-4	8	2	-8	12	6	18

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Quadratic twists for elliptic curve 990c1

-4	8	-3	5	-7	-11
7920bc1	31680bu1	330c1	4950be1	48510bn1	10890bo1

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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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