Atkin-Lehner |
2- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600cv |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-15990784000 = -1 · 221 · 53 · 61 |
Discriminant |
Eigenvalues |
2- -2 5- 2 2 5 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,127,-6017] |
[a1,a2,a3,a4,a6] |
j |
6859/488 |
j-invariant |
L |
2.3625299029232 |
L(r)(E,1)/r! |
Ω |
0.59063249651762 |
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 |
97600bi1 24400x1 97600cr1 |
Quadratic twists by: -4 8 5 |