Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462de |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-72457971526512 = -1 · 24 · 38 · 11 · 137 |
Discriminant |
Eigenvalues |
2- 3- 4 4 11- 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1553,410609] |
[a1,a2,a3,a4,a6] |
j |
-117649/20592 |
j-invariant |
L |
8.0352317660896 |
L(r)(E,1)/r! |
Ω |
0.50220198538068 |
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 |
11154r1 2574g1 |
Quadratic twists by: -3 13 |