Atkin-Lehner |
3- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
39195h |
Isogeny class |
Conductor |
39195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1635467120701171875 = -1 · 315 · 59 · 13 · 672 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 3 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,289392,13974849] |
[a1,a2,a3,a4,a6] |
j |
3676679279187329024/2243439123046875 |
j-invariant |
L |
1.3129223877963 |
L(r)(E,1)/r! |
Ω |
0.16411529847549 |
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 |
13065n1 |
Quadratic twists by: -3 |