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	11130x	Isogeny class
Conductor	11130	Conductor
∏ cp	112	Product of Tamagawa factors cp
deg	17920	Modular degree for the optimal curve
Δ	-1657505955840 = -1 · 214 · 3 · 5 · 74 · 532	Discriminant
Eigenvalues	2- 3+ 5+ 7- -2  4 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1511,65309]	[a1,a2,a3,a4,a6]
Generators	[11:218:1]	Generators of the group modulo torsion
j	-381535601691889/1657505955840	j-invariant
L	5.6323037049816	L(r)(E,1)/r!
Ω	0.73293504063594	Real period
R	0.27444956591898	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	89040bw1 33390u1 55650y1 77910co1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130x1

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
-	+	+	-	-2	4	-2	-4	0	0	4	-4	0	-6	0	+	2	-14	-4	-10	-12	4	12	6	2

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Quadratic twists for elliptic curve 11130x1

-4	-3	5	-7
89040bw1	33390u1	55650y1	77910co1

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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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