Atkin-Lehner |
2- 3- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
59826u |
Isogeny class |
Conductor |
59826 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-40442376 = -1 · 23 · 3 · 134 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -1 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,81,129] |
[a1,a2,a3,a4,a6] |
j |
2056223/1416 |
j-invariant |
L |
3.8639252334214 |
L(r)(E,1)/r! |
Ω |
1.2879750801632 |
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 |
59826j1 |
Quadratic twists by: 13 |