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	13120c	Isogeny class
Conductor	13120	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	398467624368865280 = 224 · 5 · 416	Discriminant
Eigenvalues	2+  2 5+  2  0  4  0 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-201121,16885281]	[a1,a2,a3,a4,a6]
Generators	[1447930709510649:-43286425296724772:1355469437763]	Generators of the group modulo torsion
j	3432086371273321/1520033357120	j-invariant
L	6.7492096031721	L(r)(E,1)/r!
Ω	0.26962176513698	Real period
R	25.032139373998	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	13120bb4 410c4 118080cp4 65600l4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 13120c4

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	0	4	0	-8	0	-6	8	-2	+	-8	-6	0	-12	-2	-14	-12	2	-4	12	6	-4

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Quadratic twists for elliptic curve 13120c4

-4	8	-3	5
13120bb4	410c4	118080cp4	65600l4

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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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