Atkin-Lehner |
13+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123539g |
Isogeny class |
Conductor |
123539 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
526848 |
Modular degree for the optimal curve |
Δ |
25640863753193 = 138 · 17 · 432 |
Discriminant |
Eigenvalues |
-1 0 4 -4 -6 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12538,-479176] |
[a1,a2,a3,a4,a6] |
j |
45156047481/5312177 |
j-invariant |
L |
0.90928206925693 |
L(r)(E,1)/r! |
Ω |
0.45464082824703 |
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 |
9503c1 |
Quadratic twists by: 13 |