Atkin-Lehner |
2- 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408cc |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
33681897280512 = 210 · 314 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 0 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12085,-424379] |
[a1,a2,a3,a4,a6] |
j |
190633690660864/32892477813 |
j-invariant |
L |
0.92140953790063 |
L(r)(E,1)/r! |
Ω |
0.46070476931855 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408bm1 14352bg1 |
Quadratic twists by: -4 8 |