Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52200bk |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-142701750000 = -1 · 24 · 39 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 -1 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3375,-77625] |
[a1,a2,a3,a4,a6] |
j |
-864000/29 |
j-invariant |
L |
2.5005439471276 |
L(r)(E,1)/r! |
Ω |
0.31256799335227 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400a1 52200d1 2088a1 |
Quadratic twists by: -4 -3 5 |