Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115596w |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-548755127015472 = -1 · 24 · 39 · 136 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 0 2 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4056,-1122667] |
[a1,a2,a3,a4,a6] |
j |
131072/9747 |
j-invariant |
L |
1.9779135226197 |
L(r)(E,1)/r! |
Ω |
0.24723926606408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38532g1 684b1 |
Quadratic twists by: -3 13 |