Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
88218cf |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-150862437034438428 = -1 · 22 · 313 · 138 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 -1 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,123169,-8539293] |
[a1,a2,a3,a4,a6] |
j |
347501687/253692 |
j-invariant |
L |
0.7299211340812 |
L(r)(E,1)/r! |
Ω |
0.18248029081154 |
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 |
29406c1 88218bb1 |
Quadratic twists by: -3 13 |