Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52200bt |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-3567543750000 = -1 · 24 · 39 · 58 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -5 5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,90875] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:225:1] |
Generators of the group modulo torsion |
j |
-256/19575 |
j-invariant |
L |
6.4319440589489 |
L(r)(E,1)/r! |
Ω |
0.62974853583769 |
Real period |
R |
1.2766889664861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400v1 17400e1 10440e1 |
Quadratic twists by: -4 -3 5 |