Atkin-Lehner |
2- 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
83148o |
Isogeny class |
Conductor |
83148 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-123489081456 = -1 · 24 · 3 · 137 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 3 2 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2422,-49711] |
[a1,a2,a3,a4,a6] |
j |
-20353792/1599 |
j-invariant |
L |
4.0648080092612 |
L(r)(E,1)/r! |
Ω |
0.33873399894117 |
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 |
6396d1 |
Quadratic twists by: 13 |