Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450n |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15206400 |
Modular degree for the optimal curve |
Δ |
1.1060447424605E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11- 3 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-207255417,-1137183114259] |
[a1,a2,a3,a4,a6] |
j |
14934427706187/167772160 |
j-invariant |
L |
1.2741421834201 |
L(r)(E,1)/r! |
Ω |
0.039816943225769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450eg1 10890bj1 54450ef1 |
Quadratic twists by: -3 5 -11 |