Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400gs |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-511180800 = -1 · 219 · 3 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13+ -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,127,-897] |
[a1,a2,a3,a4,a6] |
Generators |
[159:2016:1] |
Generators of the group modulo torsion |
j |
34295/78 |
j-invariant |
L |
9.7812152476134 |
L(r)(E,1)/r! |
Ω |
0.85596844247846 |
Real period |
R |
2.8567686500156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400t1 15600bn1 62400fz1 |
Quadratic twists by: -4 8 5 |