Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672cz |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
69687574528 = 218 · 112 · 133 |
Discriminant |
Eigenvalues |
2- -1 2 -2 11- 13+ -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1217,-9887] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:16:1] |
Generators of the group modulo torsion |
j |
6289657/2197 |
j-invariant |
L |
4.5702420498895 |
L(r)(E,1)/r! |
Ω |
0.83140431709105 |
Real period |
R |
2.7485075234173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672j1 25168bj1 100672dy1 |
Quadratic twists by: -4 8 -11 |