Atkin-Lehner |
2- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
58400n |
Isogeny class |
Conductor |
58400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
1825000000000 = 29 · 511 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 5 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25008,-1512488] |
[a1,a2,a3,a4,a6] |
j |
216216072008/228125 |
j-invariant |
L |
1.5186785897657 |
L(r)(E,1)/r! |
Ω |
0.37966964709454 |
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 |
58400m1 116800br1 11680c1 |
Quadratic twists by: -4 8 5 |