Cremona's table of elliptic curves

Curve 12480x3

12480 = 26 · 3 · 5 · 13



Data for elliptic curve 12480x3

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 13+ Signs for the Atkin-Lehner involutions
Class 12480x Isogeny class
Conductor 12480 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 1516136693760 = 217 · 34 · 5 · 134 Discriminant
Eigenvalues 2+ 3- 5+  4 -4 13+  6  0 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-2881,4895] [a1,a2,a3,a4,a6]
j 20183398562/11567205 j-invariant
L 2.9022916363111 L(r)(E,1)/r!
Ω 0.72557290907778 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 12480bq4 1560k3 37440ck3 62400bi3 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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