Atkin-Lehner |
2- 5- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
62320bb |
Isogeny class |
Conductor |
62320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12641115314585600 = 218 · 52 · 196 · 41 |
Discriminant |
Eigenvalues |
2- 2 5- 4 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-642960160,6275365728000] |
[a1,a2,a3,a4,a6] |
j |
7176553966366543302128324641/3086209793600 |
j-invariant |
L |
6.0780819612369 |
L(r)(E,1)/r! |
Ω |
0.16883560997158 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7790j3 |
Quadratic twists by: -4 |