Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600cm |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2350080 |
Modular degree for the optimal curve |
Δ |
6.2503838892E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- -3 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5857408,-5441175188] |
[a1,a2,a3,a4,a6] |
Generators |
[-60225655586763:11930669390650:41457661181] |
Generators of the group modulo torsion |
j |
5739907130357378/16142520375 |
j-invariant |
L |
4.1208193700395 |
L(r)(E,1)/r! |
Ω |
0.097061409357833 |
Real period |
R |
21.227897870551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14520p1 72600g1 |
Quadratic twists by: 5 -11 |