Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800hf |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
1216512000000 = 218 · 33 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10433,403263] |
[a1,a2,a3,a4,a6] |
j |
30664297/297 |
j-invariant |
L |
5.2075756508877 |
L(r)(E,1)/r! |
Ω |
0.86792927516673 |
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 |
52800v1 13200bm1 2112v1 |
Quadratic twists by: -4 8 5 |