Atkin-Lehner |
2- 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62868k |
Isogeny class |
Conductor |
62868 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-294955177022064 = -1 · 24 · 36 · 138 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 3 0 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11774,-660139] |
[a1,a2,a3,a4,a6] |
j |
2337108224/3819231 |
j-invariant |
L |
3.456413096526 |
L(r)(E,1)/r! |
Ω |
0.28803442439803 |
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 |
4836d1 |
Quadratic twists by: 13 |