Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450fj |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
3349185468750 = 2 · 311 · 57 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6755,-193003] |
[a1,a2,a3,a4,a6] |
j |
24729001/2430 |
j-invariant |
L |
4.2395995316856 |
L(r)(E,1)/r! |
Ω |
0.5299499414199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150z1 10890l1 54450br1 |
Quadratic twists by: -3 5 -11 |