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	11130c	Isogeny class
Conductor	11130	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	23198014140 = 22 · 3 · 5 · 72 · 534	Discriminant
Eigenvalues	2+ 3+ 5+ 7+ -4 -2  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-15738,-766488]	[a1,a2,a3,a4,a6]
Generators	[-73:42:1]	Generators of the group modulo torsion
j	431137155391783849/23198014140	j-invariant
L	2.2023455868554	L(r)(E,1)/r!
Ω	0.42624566825427	Real period
R	2.5834228367356	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	89040ch4 33390bs4 55650dh4 77910bf4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130c3

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

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Quadratic twists for elliptic curve 11130c3

-4	-3	5	-7
89040ch4	33390bs4	55650dh4	77910bf4

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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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