Cremona's table of elliptic curves

19110 = 2 · 3 · 5 · 7² · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 13-	Signs for the Atkin-Lehner involutions
Class	19110cu	Isogeny class
Conductor	19110	Conductor
∏ cp	440	Product of Tamagawa factors cp
deg	112640	Modular degree for the optimal curve
Δ	295404432261120 = 222 · 35 · 5 · 73 · 132	Discriminant
Eigenvalues	2- 3- 5+ 7- -2 13-  0 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-25166,1293060]	[a1,a2,a3,a4,a6]
Generators	[4:1090:1]	Generators of the group modulo torsion
j	5138936454608263/861237411840	j-invariant
L	8.4645063193289	L(r)(E,1)/r!
Ω	0.52188477729582	Real period
R	0.14744644947715	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	57330cs1 95550p1 19110ca1	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 19110cu1

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
-	-	+	-	-2	-	0	-8	-8	8	-2	8	6	10	-2	-6	4	2	-14	12	-2	-8	-16	6	10

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Quadratic twists for elliptic curve 19110cu1

-3	5	-7
57330cs1	95550p1	19110ca1

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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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