Atkin-Lehner |
2- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
23600bf |
Isogeny class |
Conductor |
23600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-44556800000000 = -1 · 215 · 58 · 592 |
Discriminant |
Eigenvalues |
2- -1 5- 0 5 -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,-321088] |
[a1,a2,a3,a4,a6] |
j |
-625/27848 |
j-invariant |
L |
1.1685761472344 |
L(r)(E,1)/r! |
Ω |
0.29214403680859 |
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 |
2950r1 94400dd1 23600q1 |
Quadratic twists by: -4 8 5 |