Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800gv |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
2640000000 = 210 · 3 · 57 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5533,156563] |
[a1,a2,a3,a4,a6] |
j |
1171019776/165 |
j-invariant |
L |
2.7795756904326 |
L(r)(E,1)/r! |
Ω |
1.3897878454597 |
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 |
52800h1 13200b1 10560bn1 |
Quadratic twists by: -4 8 5 |