Atkin-Lehner |
2- 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
52234bc |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
143160393166336 = 29 · 79 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3 3 7- -2 13+ 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29091,-1813661] |
[a1,a2,a3,a4,a6] |
j |
67468849911/3547648 |
j-invariant |
L |
13.203277638898 |
L(r)(E,1)/r! |
Ω |
0.36675771218697 |
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 |
52234be1 |
Quadratic twists by: -7 |