Cremona's table of elliptic curves

1111 = 11 · 101

Field	Data	Notes
Atkin-Lehner	11- 101-	Signs for the Atkin-Lehner involutions
Class	1111a	Isogeny class
Conductor	1111	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	72	Modular degree for the optimal curve
Δ	12221 = 112 · 101	Discriminant
Eigenvalues	0  0  3  0 11- -5 -3 -7	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-26,-51]	[a1,a2,a3,a4,a6]
Generators	[-3:0:1]	Generators of the group modulo torsion
j	1943764992/12221	j-invariant
L	2.4287256408113	L(r)(E,1)/r!
Ω	2.1150503261632	Real period
R	0.57415315625542	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	17776e1 71104a1 9999f1 27775a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1111a1

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	0	3	0	-	-5	-3	-7	1	4	-5	6	-2	-8	3	-8	14	-14	-12	5	0	-11	4	0	6

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Quadratic twists for elliptic curve 1111a1

-4	8	-3	5	-7	-11	101
17776e1	71104a1	9999f1	27775a1	54439b1	12221a1	112211a1

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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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