Cremona's table of elliptic curves

11110 = 2 · 5 · 11 · 101

Field	Data	Notes
Atkin-Lehner	2- 5- 11- 101-	Signs for the Atkin-Lehner involutions
Class	11110j	Isogeny class
Conductor	11110	Conductor
∏ cp	100	Product of Tamagawa factors cp
Δ	-135412975662924080 = -1 · 24 · 5 · 115 · 1015	Discriminant
Eigenvalues	2- -1 5- -2 11- -1 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,20535,-17659865]	[a1,a2,a3,a4,a6]
Generators	[1549:60330:1]	Generators of the group modulo torsion
j	957649336014201839/135412975662924080	j-invariant
L	5.5474044028244	L(r)(E,1)/r!
Ω	0.15510589008654	Real period
R	0.35765272355095	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	88880q2 99990g2 55550f2 122210e2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 11110j2

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
-	-1	-	-2	-	-1	-2	0	4	5	-3	-2	-3	-1	8	-6	0	7	-12	-3	4	-10	4	0	8

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Quadratic twists for elliptic curve 11110j2

-4	-3	5	-11
88880q2	99990g2	55550f2	122210e2

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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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