Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800f |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
1056250000 = 24 · 58 · 132 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 -1 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10508,411113] |
[a1,a2,a3,a4,a6] |
Generators |
[68:125:1] |
Generators of the group modulo torsion |
j |
3037375744/25 |
j-invariant |
L |
5.3885942925119 |
L(r)(E,1)/r! |
Ω |
1.3970382438831 |
Real period |
R |
0.48214448638983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67600g1 6760j1 33800p1 |
Quadratic twists by: -4 5 13 |