Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600ez |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
223279031250000 = 24 · 310 · 59 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34500,2359375] |
[a1,a2,a3,a4,a6] |
Generators |
[-782:17523:8] |
Generators of the group modulo torsion |
j |
199344128/9801 |
j-invariant |
L |
5.0866219270438 |
L(r)(E,1)/r! |
Ω |
0.55265703956264 |
Real period |
R |
4.6019697234551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9900x1 13200cp1 39600ex1 |
Quadratic twists by: -4 -3 5 |