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	11130l	Isogeny class
Conductor	11130	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	452758954469850 = 2 · 320 · 52 · 72 · 53	Discriminant
Eigenvalues	2+ 3- 5+ 7-  0 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-693764,-222471088]	[a1,a2,a3,a4,a6]
Generators	[-480:271:1]	Generators of the group modulo torsion
j	36928196050908253259449/452758954469850	j-invariant
L	3.8230350874539	L(r)(E,1)/r!
Ω	0.16542342526534	Real period
R	1.1555301437271	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	89040z4 33390bx4 55650bv4 77910n4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130l3

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	-2	2	-4	-8	2	4	-2	-10	12	8	+	8	10	4	0	-6	-4	-12	-6	2

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Quadratic twists for elliptic curve 11130l3

-4	-3	5	-7
89040z4	33390bx4	55650bv4	77910n4

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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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