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	11130u	Isogeny class
Conductor	11130	Conductor
∏ cp	26	Product of Tamagawa factors cp
deg	351520	Modular degree for the optimal curve
Δ	-9.117696E+19	Discriminant
Eigenvalues	2+ 3- 5- 7-  3 -1 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,666277,409004006]	[a1,a2,a3,a4,a6]
Generators	[13295:1529352:1]	Generators of the group modulo torsion
j	32710645463537765084759/91176960000000000000	j-invariant
L	4.5759602910452	L(r)(E,1)/r!
Ω	0.13390114894153	Real period
R	1.3143910573117	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	89040br1 33390bk1 55650bs1 77910l1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130u1

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	-2	-6	-3	-8	6	-2	2	-7	-3	-	-4	-7	-2	0	10	0	-2	5	-18

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Quadratic twists for elliptic curve 11130u1

-4	-3	5	-7
89040br1	33390bk1	55650bs1	77910l1

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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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