Atkin-Lehner |
5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9295d |
Isogeny class |
Conductor |
9295 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-9113241648671875 = -1 · 57 · 11 · 139 |
Discriminant |
Eigenvalues |
2 0 5+ 0 11- 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,7267,-4586787] |
[a1,a2,a3,a4,a6] |
j |
8792838144/1888046875 |
j-invariant |
L |
3.0953142197242 |
L(r)(E,1)/r! |
Ω |
0.19345713873276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83655y1 46475g1 102245g1 715b1 |
Quadratic twists by: -3 5 -11 13 |