Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800he |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
62726400000000 = 214 · 34 · 58 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66033,6498063] |
[a1,a2,a3,a4,a6] |
j |
124386546256/245025 |
j-invariant |
L |
4.9817960616729 |
L(r)(E,1)/r! |
Ω |
0.62272450781426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52800u2 13200g2 10560bq2 |
Quadratic twists by: -4 8 5 |