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	32	Product of Tamagawa factors cp
Δ	285412377600 = 210 · 34 · 52 · 72 · 532	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  4  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-5113,-140507]	[a1,a2,a3,a4,a6]
Generators	[-39:58:1]	Generators of the group modulo torsion
j	14787126942253849/285412377600	j-invariant
L	2.8368174427056	L(r)(E,1)/r!
Ω	0.56523462420545	Real period
R	2.509415843636	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	89040cj2 33390bt2 55650df2 77910bd2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11130b2

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 11130b2

-4	-3	5	-7
89040cj2	33390bt2	55650df2	77910bd2

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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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