Cremona's table of elliptic curves

13120 = 2⁶ · 5 · 41

Field	Data	Notes
Atkin-Lehner	2- 5+ 41+	Signs for the Atkin-Lehner involutions
Class	13120u	Isogeny class
Conductor	13120	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-15565141576908800 = -1 · 217 · 52 · 416	Discriminant
Eigenvalues	2-  0 5+ -2  4 -4  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-87628,-11649648]	[a1,a2,a3,a4,a6]
j	-567730837600722/118752606025	j-invariant
L	0.54881170226141	L(r)(E,1)/r!
Ω	0.13720292556535	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	13120a2 3280a2 118080gh2 65600bd2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13120u2

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	-4	2	-8	-4	-4	-4	6	+	4	2	-12	-4	-10	-4	6	6	-6	-4	18	10

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Quadratic twists for elliptic curve 13120u2

-4	8	-3	5
13120a2	3280a2	118080gh2	65600bd2

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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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