Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800gg |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-32440320000000000 = -1 · 225 · 32 · 510 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20833,-8749537] |
[a1,a2,a3,a4,a6] |
Generators |
[5719:432384:1] |
Generators of the group modulo torsion |
j |
-390625/12672 |
j-invariant |
L |
6.9271463433531 |
L(r)(E,1)/r! |
Ω |
0.16087008538404 |
Real period |
R |
5.3825625246308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800ba1 13200br1 52800fi1 |
Quadratic twists by: -4 8 5 |