Atkin-Lehner |
2- 11+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
62744f |
Isogeny class |
Conductor |
62744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-10826226224 = -1 · 24 · 113 · 232 · 312 |
Discriminant |
Eigenvalues |
2- 0 2 -2 11+ -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,206,-4875] |
[a1,a2,a3,a4,a6] |
j |
60423432192/676639139 |
j-invariant |
L |
1.2603566455783 |
L(r)(E,1)/r! |
Ω |
0.63017832453011 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125488e1 |
Quadratic twists by: -4 |