Atkin-Lehner |
2- 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
99180g |
Isogeny class |
Conductor |
99180 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
34652160 |
Modular degree for the optimal curve |
Δ |
1.9460768302736E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-619287528,-5893707580463] |
[a1,a2,a3,a4,a6] |
j |
2251921266672355760016326656/16684472138834412257805 |
j-invariant |
L |
0.5449953110135 |
L(r)(E,1)/r! |
Ω |
0.0302775300787 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33060k1 |
Quadratic twists by: -3 |