Atkin-Lehner |
2- 3+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
53808o |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3474432 |
Modular degree for the optimal curve |
Δ |
5.2336169115086E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 6 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9002024,-9792816720] |
[a1,a2,a3,a4,a6] |
j |
19696284638611629311017/1277738503786280817 |
j-invariant |
L |
2.1003429200277 |
L(r)(E,1)/r! |
Ω |
0.087514288255864 |
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 |
3363d1 |
Quadratic twists by: -4 |