Atkin-Lehner |
2+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
39710l |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-983258912900000 = -1 · 25 · 55 · 11 · 197 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 11- 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-175093,-28254944] |
[a1,a2,a3,a4,a6] |
j |
-12618417497041/20900000 |
j-invariant |
L |
1.166835263893 |
L(r)(E,1)/r! |
Ω |
0.11668352638285 |
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 |
2090n1 |
Quadratic twists by: -19 |