Atkin-Lehner |
2- 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37950dm |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-11112519000 = -1 · 23 · 3 · 53 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25478,-1567428] |
[a1,a2,a3,a4,a6] |
j |
-14632238262508469/88900152 |
j-invariant |
L |
5.668253088234 |
L(r)(E,1)/r! |
Ω |
0.18894176960988 |
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 |
113850ci1 37950o1 |
Quadratic twists by: -3 5 |