Cremona's table of elliptic curves

Curve 124608bt1

124608 = 26 · 3 · 11 · 59



Data for elliptic curve 124608bt1

Field Data Notes
Atkin-Lehner 2+ 3- 11- 59+ Signs for the Atkin-Lehner involutions
Class 124608bt Isogeny class
Conductor 124608 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 774144 Modular degree for the optimal curve
Δ 91985314578432 = 232 · 3 · 112 · 59 Discriminant
Eigenvalues 2+ 3- -4 -4 11-  4  6  4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-25825,-1537921] [a1,a2,a3,a4,a6]
Generators [39822:7469:216] Generators of the group modulo torsion
j 7266438420409/350896128 j-invariant
L 6.0491229364069 L(r)(E,1)/r!
Ω 0.37773456628788 Real period
R 8.0071081247049 Regulator
r 1 Rank of the group of rational points
S 0.99999998462519 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 124608ci1 3894a1 Quadratic twists by: -4 8


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