Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25168o |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-57584384 = -1 · 28 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3 -1 4 11+ 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88,-484] |
[a1,a2,a3,a4,a6] |
j |
-221184/169 |
j-invariant |
L |
6.0354385187414 |
L(r)(E,1)/r! |
Ω |
0.75442981484269 |
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 |
6292a1 100672ch1 25168q1 |
Quadratic twists by: -4 8 -11 |