Atkin-Lehner |
2- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
23600bg |
Isogeny class |
Conductor |
23600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-18688476446720000 = -1 · 233 · 54 · 592 |
Discriminant |
Eigenvalues |
2- -1 5- 4 -3 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25808,-6759488] |
[a1,a2,a3,a4,a6] |
j |
-742614841825/7300186112 |
j-invariant |
L |
1.9686163279169 |
L(r)(E,1)/r! |
Ω |
0.16405136065974 |
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 |
2950s1 94400de1 23600s1 |
Quadratic twists by: -4 8 5 |