Atkin-Lehner |
3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20787f |
Isogeny class |
Conductor |
20787 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-48089498067 = -1 · 35 · 136 · 41 |
Discriminant |
Eigenvalues |
2 3- 4 2 3 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1746,29423] |
[a1,a2,a3,a4,a6] |
j |
-122023936/9963 |
j-invariant |
L |
11.080365770289 |
L(r)(E,1)/r! |
Ω |
1.1080365770289 |
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 |
62361j1 123a1 |
Quadratic twists by: -3 13 |