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	13120bc	Isogeny class
Conductor	13120	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	34426880000 = 215 · 54 · 412	Discriminant
Eigenvalues	2- -2 5+  4 -2  4 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-26721,-1690145]	[a1,a2,a3,a4,a6]
j	64394407431368/1050625	j-invariant
L	1.4936382955045	L(r)(E,1)/r!
Ω	0.37340957387612	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	13120x2 6560c2 118080gi2 65600bk2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13120bc2

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

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Quadratic twists for elliptic curve 13120bc2

-4	8	-3	5
13120x2	6560c2	118080gi2	65600bk2

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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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