Atkin-Lehner |
2- 5- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
108560q |
Isogeny class |
Conductor |
108560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-6545421107200 = -1 · 223 · 52 · 232 · 59 |
Discriminant |
Eigenvalues |
2- 2 5- 5 3 -3 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2000,-118848] |
[a1,a2,a3,a4,a6] |
j |
215892017999/1598003200 |
j-invariant |
L |
5.9753251951862 |
L(r)(E,1)/r! |
Ω |
0.37345783059838 |
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 |
13570f1 |
Quadratic twists by: -4 |