Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400gy |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
62300160000000000 = 222 · 32 · 510 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104033,-4787937] |
[a1,a2,a3,a4,a6] |
j |
30400540561/15210000 |
j-invariant |
L |
4.4805001097412 |
L(r)(E,1)/r! |
Ω |
0.28003125698919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62400z2 15600z2 12480bl2 |
Quadratic twists by: -4 8 5 |