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	13120bn	Isogeny class
Conductor	13120	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-4406640640000 = -1 · 222 · 54 · 412	Discriminant
Eigenvalues	2- -2 5-  2  2  6 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,4095,-4097]	[a1,a2,a3,a4,a6]
j	28962726911/16810000	j-invariant
L	1.840615605311	L(r)(E,1)/r!
Ω	0.46015390132775	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	13120s2 3280h2 118080dz2 65600cb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13120bn2

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	2	6	-6	-2	4	6	0	-10	-	4	-2	6	12	10	2	-10	-10	6	0	10	2

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Quadratic twists for elliptic curve 13120bn2

-4	8	-3	5
13120s2	3280h2	118080dz2	65600cb2

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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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