Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400hm |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
399360000000 = 217 · 3 · 57 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-832033,-292395937] |
[a1,a2,a3,a4,a6] |
j |
31103978031362/195 |
j-invariant |
L |
5.0584137772886 |
L(r)(E,1)/r! |
Ω |
0.15807543057793 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400bi4 15600f3 12480bq3 |
Quadratic twists by: -4 8 5 |