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	11130b	Isogeny class
Conductor	11130	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	22905540000 = 25 · 32 · 54 · 74 · 53	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  4  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-81433,-8978363]	[a1,a2,a3,a4,a6]
Generators	[591:11942:1]	Generators of the group modulo torsion
j	59721863255792719129/22905540000	j-invariant
L	2.8368174427056	L(r)(E,1)/r!
Ω	0.28261731210273	Real period
R	5.0188316872721	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	89040cj4 33390bt4 55650df4 77910bd4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130b3

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	6	2	-4	0	6	-8	2	-10	0	-8	+	0	2	-4	-4	2	-4	4	-6	-14

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Quadratic twists for elliptic curve 11130b3

-4	-3	5	-7
89040cj4	33390bt4	55650df4	77910bd4

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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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