Cremona's table of elliptic curves

Curve 12480bb2

12480 = 26 · 3 · 5 · 13



Data for elliptic curve 12480bb2

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 13- Signs for the Atkin-Lehner involutions
Class 12480bb Isogeny class
Conductor 12480 Conductor
∏ cp 80 Product of Tamagawa factors cp
Δ 163500539904000 = 217 · 310 · 53 · 132 Discriminant
Eigenvalues 2+ 3- 5+  2 -4 13-  0 -2 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-17121,-609921] [a1,a2,a3,a4,a6]
Generators [-93:432:1] Generators of the group modulo torsion
j 4234737878642/1247410125 j-invariant
L 5.431894293962 L(r)(E,1)/r!
Ω 0.42681291498637 Real period
R 0.63633199737353 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 12480bx2 1560b2 37440cq2 62400m2 Quadratic twists by: -4 8 -3 5


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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