Cremona's table of elliptic curves

13110 = 2 · 3 · 5 · 19 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 19+ 23-	Signs for the Atkin-Lehner involutions
Class	13110bp	Isogeny class
Conductor	13110	Conductor
∏ cp	672	Product of Tamagawa factors cp
Δ	398790253238535000 = 23 · 37 · 54 · 194 · 234	Discriminant
Eigenvalues	2- 3- 5- -4 -4 -2  6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-26112523580,-1624134393174600]	[a1,a2,a3,a4,a6]
Generators	[288010:121287370:1]	Generators of the group modulo torsion
j	1969111223714702304368067230802256321/398790253238535000	j-invariant
L	7.8100271779673	L(r)(E,1)/r!
Ω	0.011876469106652	Real period
R	3.9143163337722	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	104880ce4 39330h4 65550d4	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 13110bp3

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

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Quadratic twists for elliptic curve 13110bp3

-4	-3	5
104880ce4	39330h4	65550d4

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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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