Atkin-Lehner |
2- 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
83148k |
Isogeny class |
Conductor |
83148 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
10886400 |
Modular degree for the optimal curve |
Δ |
1.515768660466E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208006777,1154617686548] |
[a1,a2,a3,a4,a6] |
j |
12887719410278499008512/1962695049237 |
j-invariant |
L |
1.7162886584279 |
L(r)(E,1)/r! |
Ω |
0.14302405806363 |
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 |
6396c1 |
Quadratic twists by: 13 |