Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800ei |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
24634368000000 = 216 · 37 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-801633,276523137] |
[a1,a2,a3,a4,a6] |
j |
55635379958596/24057 |
j-invariant |
L |
1.095060014643 |
L(r)(E,1)/r! |
Ω |
0.54753000728327 |
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 |
52800cx1 13200x1 2112z1 |
Quadratic twists by: -4 8 5 |