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	19110bm	Isogeny class
Conductor	19110	Conductor
∏ cp	21	Product of Tamagawa factors cp
deg	197568	Modular degree for the optimal curve
Δ	-43407925626014040 = -1 · 23 · 3 · 5 · 78 · 137	Discriminant
Eigenvalues	2- 3+ 5+ 7+ -2 13-  3  1	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-338591,76352093]	[a1,a2,a3,a4,a6]
Generators	[269:2062:1]	Generators of the group modulo torsion
j	-744673162316209/7529822040	j-invariant
L	6.0195347004263	L(r)(E,1)/r!
Ω	0.36231647912119	Real period
R	0.79114400272207	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	57330ca1 95550da1 19110db1	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 19110bm1

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	-	3	1	-4	2	-4	-4	7	-5	-6	-2	10	8	-2	-5	3	-11	7	-13	7

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Quadratic twists for elliptic curve 19110bm1

-3	5	-7
57330ca1	95550da1	19110db1

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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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