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	11130p	Isogeny class
Conductor	11130	Conductor
∏ cp	280	Product of Tamagawa factors cp
Δ	-4609382025937500000 = -1 · 25 · 37 · 510 · 74 · 532	Discriminant
Eigenvalues	2+ 3- 5- 7+ -4  4  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,204172,-96982702]	[a1,a2,a3,a4,a6]
Generators	[624:16225:1]	Generators of the group modulo torsion
j	941272387768547117639/4609382025937500000	j-invariant
L	4.1715289581891	L(r)(E,1)/r!
Ω	0.12309627027774	Real period
R	0.48411922389537	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	89040bt2 33390bh2 55650ck2 77910g2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130p2

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	4	0	2	-4	2	-8	-8	8	6	-2	+	-12	4	8	-14	6	-4	-12	-18	-14

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Quadratic twists for elliptic curve 11130p2

-4	-3	5	-7
89040bt2	33390bh2	55650ck2	77910g2

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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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