Cremona's table of elliptic curves

11060 = 2² · 5 · 7 · 79

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 79-	Signs for the Atkin-Lehner involutions
Class	11060b	Isogeny class
Conductor	11060	Conductor
∏ cp	57	Product of Tamagawa factors cp
deg	111264	Modular degree for the optimal curve
Δ	2700195312500000000 = 28 · 519 · 7 · 79	Discriminant
Eigenvalues	2-  0 5- 7- -3  1  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-404312,59506116]	[a1,a2,a3,a4,a6]
Generators	[152:1250:1]	Generators of the group modulo torsion
j	28551809744913309696/10547637939453125	j-invariant
L	4.7026142031835	L(r)(E,1)/r!
Ω	0.23374109672764	Real period
R	0.35296319183766	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	44240o1 99540k1 55300a1 77420e1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11060b1

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	1	0	4	-2	6	-4	-1	-5	-1	4	-6	9	-14	0	-14	1	-	3	10	11

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Quadratic twists for elliptic curve 11060b1

-4	-3	5	-7
44240o1	99540k1	55300a1	77420e1

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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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