Cremona's table of elliptic curves

Curve 48960fc4

48960 = 26 · 32 · 5 · 17



Data for elliptic curve 48960fc4

Field Data Notes
Atkin-Lehner 2- 3- 5- 17+ Signs for the Atkin-Lehner involutions
Class 48960fc Isogeny class
Conductor 48960 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 174810075415511040 = 216 · 322 · 5 · 17 Discriminant
Eigenvalues 2- 3- 5-  0  0  2 17+ -4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-144012,-6150256] [a1,a2,a3,a4,a6]
j 6913728144004/3658971285 j-invariant
L 2.0812361113351 L(r)(E,1)/r!
Ω 0.26015451396298 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 4 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 48960ck4 12240g3 16320bs3 Quadratic twists by: -4 8 -3


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations