Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800cc |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-3493076400000000 = -1 · 210 · 38 · 58 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 0 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30867,1941363] |
[a1,a2,a3,a4,a6] |
j |
203269830656/218317275 |
j-invariant |
L |
4.7193990135973 |
L(r)(E,1)/r! |
Ω |
0.29496243842673 |
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 |
52800ex1 6600w1 10560j1 |
Quadratic twists by: -4 8 5 |