Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45968l |
Isogeny class |
Conductor |
45968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
227203846258688 = 214 · 138 · 17 |
Discriminant |
Eigenvalues |
2- -2 2 2 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24392,1266292] |
[a1,a2,a3,a4,a6] |
j |
81182737/11492 |
j-invariant |
L |
2.1471941276717 |
L(r)(E,1)/r! |
Ω |
0.53679853188033 |
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 |
5746c1 3536g1 |
Quadratic twists by: -4 13 |