Cremona's table of elliptic curves

11130 = 2 · 3 · 5 · 7 · 53

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 53+	Signs for the Atkin-Lehner involutions
Class	11130bb	Isogeny class
Conductor	11130	Conductor
∏ cp	90	Product of Tamagawa factors cp
deg	18720	Modular degree for the optimal curve
Δ	-1703502239040 = -1 · 26 · 315 · 5 · 7 · 53	Discriminant
Eigenvalues	2- 3- 5+ 7- -3 -1 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-641,-63159]	[a1,a2,a3,a4,a6]
j	-29129977246609/1703502239040	j-invariant
L	3.6918074238401	L(r)(E,1)/r!
Ω	0.36918074238401	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	89040bb1 33390v1 55650i1 77910bx1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130bb1

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
-	-	+	-	-3	-1	-6	2	3	0	2	2	6	-7	3	+	12	5	2	12	2	8	6	15	-10

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Quadratic twists for elliptic curve 11130bb1

-4	-3	5	-7
89040bb1	33390v1	55650i1	77910bx1

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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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