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	13110g	Isogeny class
Conductor	13110	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2560	Modular degree for the optimal curve
Δ	2831760 = 24 · 34 · 5 · 19 · 23	Discriminant
Eigenvalues	2+ 3+ 5-  0  0  2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-57,-171]	[a1,a2,a3,a4,a6]
Generators	[-5:7:1]	Generators of the group modulo torsion
j	21047437081/2831760	j-invariant
L	3.0690508060532	L(r)(E,1)/r!
Ω	1.7490124133492	Real period
R	1.754733575719	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	104880da1 39330bn1 65550cg1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 13110g1

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	0	2	-6	-	+	-2	-8	2	6	4	8	6	12	2	0	-12	-6	-16	12	6	10

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Quadratic twists for elliptic curve 13110g1

-4	-3	5
104880da1	39330bn1	65550cg1

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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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