Atkin-Lehner |
3- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
39195f |
Isogeny class |
Conductor |
39195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
206080 |
Modular degree for the optimal curve |
Δ |
-51688837395 = -1 · 311 · 5 · 13 · 672 |
Discriminant |
Eigenvalues |
2 3- 5+ -1 -5 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-167853,-26469261] |
[a1,a2,a3,a4,a6] |
j |
-717436564481437696/70903755 |
j-invariant |
L |
0.94346819973473 |
L(r)(E,1)/r! |
Ω |
0.11793352495626 |
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 |
13065m1 |
Quadratic twists by: -3 |