Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25168bh |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-13489487458304 = -1 · 212 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 1 -1 -2 11- 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2581,-184637] |
[a1,a2,a3,a4,a6] |
j |
-262144/1859 |
j-invariant |
L |
1.18790836413 |
L(r)(E,1)/r! |
Ω |
0.2969770910325 |
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 |
1573b1 100672cy1 2288i1 |
Quadratic twists by: -4 8 -11 |