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	13120q	Isogeny class
Conductor	13120	Conductor
∏ cp	20	Product of Tamagawa factors cp
Δ	36169740800000 = 212 · 55 · 414	Discriminant
Eigenvalues	2+  2 5- -2 -4  2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-14425,605625]	[a1,a2,a3,a4,a6]
j	81047819728576/8830503125	j-invariant
L	3.1550167534394	L(r)(E,1)/r!
Ω	0.63100335068788	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	13120r2 6560i1 118080bp2 65600j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13120q2

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	-	-2	-4	2	6	0	6	2	-4	6	+	-10	-2	2	0	14	14	4	-6	-8	-10	18	6

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Quadratic twists for elliptic curve 13120q2

-4	8	-3	5
13120r2	6560i1	118080bp2	65600j2

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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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