Cremona's table of elliptic curves

13104 = 2⁴ · 3² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 13+	Signs for the Atkin-Lehner involutions
Class	13104y	Isogeny class
Conductor	13104	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	568596905839872 = 28 · 320 · 72 · 13	Discriminant
Eigenvalues	2+ 3-  0 7- -2 13+  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-24015,-857698]	[a1,a2,a3,a4,a6]
Generators	[-86:756:1]	Generators of the group modulo torsion
j	8207369602000/3046751253	j-invariant
L	4.7046801042431	L(r)(E,1)/r!
Ω	0.39552939816908	Real period
R	2.973660191898	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	6552f2 52416gg2 4368e2 91728bf2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13104y2

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	+	2	0	-8	-2	4	6	8	4	6	2	-2	2	4	-6	-2	0	-6	-4	-2

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Quadratic twists for elliptic curve 13104y2

-4	8	-3	-7
6552f2	52416gg2	4368e2	91728bf2

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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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