Atkin-Lehner |
2+ 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288r |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
23896280422387152 = 24 · 314 · 135 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1120926,-456726229] |
[a1,a2,a3,a4,a6] |
j |
13353866478112073728/2048720886693 |
j-invariant |
L |
1.4672675630319 |
L(r)(E,1)/r! |
Ω |
0.1467267564402 |
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 |
27144u1 18096f1 |
Quadratic twists by: -4 -3 |