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	19110cc	Isogeny class
Conductor	19110	Conductor
∏ cp	1440	Product of Tamagawa factors cp
Δ	1.1060339449508E+24	Discriminant
Eigenvalues	2- 3+ 5- 7-  0 13- -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1255828645,-17129909270293]	[a1,a2,a3,a4,a6]
Generators	[-20453:18676:1]	Generators of the group modulo torsion
j	1861772567578966373029167169/9401133413380800000	j-invariant
L	7.1040524194809	L(r)(E,1)/r!
Ω	0.025361041809936	Real period
R	0.77810206263969	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	57330bi4 95550dj4 2730z3	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 19110cc3

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

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Quadratic twists for elliptic curve 19110cc3

-3	5	-7
57330bi4	95550dj4	2730z3

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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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