Cremona's table of elliptic curves

1116 = 2² · 3² · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 31-	Signs for the Atkin-Lehner involutions
Class	1116f	Isogeny class
Conductor	1116	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2880	Modular degree for the optimal curve
Δ	-140085050094576 = -1 · 24 · 324 · 31	Discriminant
Eigenvalues	2- 3- -3 -1  0  2  0 -1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-27489,1844341]	[a1,a2,a3,a4,a6]
j	-196948657599232/12010035159	j-invariant
L	1.1464994711779	L(r)(E,1)/r!
Ω	0.57324973558895	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4464v1 17856bf1 372c1 27900i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1116f1

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
-	-	-3	-1	0	2	0	-1	6	0	-	8	3	8	0	12	9	8	-4	9	-4	-10	6	6	-7

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Quadratic twists for elliptic curve 1116f1

-4	8	-3	5	-7	-31
4464v1	17856bf1	372c1	27900i1	54684n1	34596q1

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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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