Atkin-Lehner |
2- 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720de |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64000 |
Modular degree for the optimal curve |
Δ |
-9285120000 = -1 · 212 · 32 · 54 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 5 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,155,-4525] |
[a1,a2,a3,a4,a6] |
j |
99897344/2266875 |
j-invariant |
L |
5.0315524549392 |
L(r)(E,1)/r! |
Ω |
0.62894407677849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6045d1 |
Quadratic twists by: -4 |