Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400cj |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2190240000000000 = -1 · 214 · 34 · 510 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32367,226863] |
[a1,a2,a3,a4,a6] |
j |
14647977776/8555625 |
j-invariant |
L |
4.4765890744363 |
L(r)(E,1)/r! |
Ω |
0.279786817332 |
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 |
62400eh2 3900d2 12480r2 |
Quadratic twists by: -4 8 5 |