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
Δ	9134142187500 = 22 · 312 · 58 · 11	Discriminant
Eigenvalues	2+ 3- 5+  0 11+  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1539765,735795481]	[a1,a2,a3,a4,a6]
j	553808571467029327441/12529687500	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	7920bc5 31680bu6 330c5 4950be5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 990c5

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 990c5

-4	8	-3	5	-7	-11
7920bc5	31680bu6	330c5	4950be5	48510bn6	10890bo5

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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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