Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52560bm |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
8928331038720000 = 228 · 36 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124587,-16304166] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:450:1] |
Generators of the group modulo torsion |
j |
71623315478889/2990080000 |
j-invariant |
L |
7.5877184315391 |
L(r)(E,1)/r! |
Ω |
0.25477050964612 |
Real period |
R |
1.8614101083817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999651 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6570bc1 5840c1 |
Quadratic twists by: -4 -3 |