Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450ba |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-117135062500 = -1 · 22 · 56 · 374 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 2 6 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-713,-18083] |
[a1,a2,a3,a4,a6] |
j |
-1369/4 |
j-invariant |
L |
3.419958809319 |
L(r)(E,1)/r! |
Ω |
0.42749485254564 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2738a1 68450h1 |
Quadratic twists by: 5 37 |