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	19110dc	Isogeny class
Conductor	19110	Conductor
∏ cp	1200	Product of Tamagawa factors cp
deg	230400	Modular degree for the optimal curve
Δ	12025045468800000 = 210 · 33 · 55 · 77 · 132	Discriminant
Eigenvalues	2- 3- 5- 7- -2 13+ -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-596135,177031497]	[a1,a2,a3,a4,a6]
Generators	[1894:-77387:1]	Generators of the group modulo torsion
j	199144987475642209/102211200000	j-invariant
L	9.62007034914	L(r)(E,1)/r!
Ω	0.39603088946266	Real period
R	0.080970707126682	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	57330z1 95550bl1 2730t1	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 19110dc1

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

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Quadratic twists for elliptic curve 19110dc1

-3	5	-7
57330z1	95550bl1	2730t1

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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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