Cremona's table of elliptic curves

1111 = 11 · 101

Field	Data	Notes
Atkin-Lehner	11- 101-	Signs for the Atkin-Lehner involutions
Class	1111b	Isogeny class
Conductor	1111	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	2520	Modular degree for the optimal curve
Δ	-198788631371 = -1 · 117 · 1012	Discriminant
Eigenvalues	0 -3 -3  0 11-  4  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-8704,313290]	[a1,a2,a3,a4,a6]
Generators	[342:6110:1]	Generators of the group modulo torsion
j	-72925658468057088/198788631371	j-invariant
L	1.1271449590629	L(r)(E,1)/r!
Ω	1.0079259766113	Real period
R	0.079877249011341	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	17776f1 71104c1 9999e1 27775b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1111b1

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
0	-3	-3	0	-	4	0	2	-5	-8	7	3	-8	4	0	10	11	-2	3	5	6	-14	16	-15	-3

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Quadratic twists for elliptic curve 1111b1

-4	8	-3	5	-7	-11	101
17776f1	71104c1	9999e1	27775b1	54439c1	12221b1	112211b1

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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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