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	19110l	Isogeny class
Conductor	19110	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	911899281384000 = 26 · 32 · 53 · 78 · 133	Discriminant
Eigenvalues	2+ 3+ 5- 7-  6 13+  0 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-2522202,1540712916]	[a1,a2,a3,a4,a6]
Generators	[867:2139:1]	Generators of the group modulo torsion
j	15082569606665230489/7751016000	j-invariant
L	3.5311623715856	L(r)(E,1)/r!
Ω	0.40781651684274	Real period
R	0.72155863927145	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	57330ee3 95550ke3 2730o3	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 19110l3

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

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Quadratic twists for elliptic curve 19110l3

-3	5	-7
57330ee3	95550ke3	2730o3

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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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