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	13104n	Isogeny class
Conductor	13104	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-7772846057699014656 = -1 · 211 · 318 · 73 · 134	Discriminant
Eigenvalues	2+ 3- -2 7+  4 13+ -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-237891,-141376030]	[a1,a2,a3,a4,a6]
j	-997241325462146/5206220835543	j-invariant
L	0.77897822173485	L(r)(E,1)/r!
Ω	0.097372277716857	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6552j4 52416fk3 4368b4 91728bn3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13104n4

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

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Quadratic twists for elliptic curve 13104n4

-4	8	-3	-7
6552j4	52416fk3	4368b4	91728bn3

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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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