Atkin-Lehner |
2- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125902m |
Isogeny class |
Conductor |
125902 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
36034560 |
Modular degree for the optimal curve |
Δ |
-9.7120790745687E+25 |
Discriminant |
Eigenvalues |
2- -2 1 7+ -2 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-67715185,520394477673] |
[a1,a2,a3,a4,a6] |
Generators |
[17674:2192187:1] |
Generators of the group modulo torsion |
j |
-438489534362183761/1240193702035456 |
j-invariant |
L |
6.8334644180769 |
L(r)(E,1)/r! |
Ω |
0.052845888306231 |
Real period |
R |
1.61636620125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997064727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125902t1 |
Quadratic twists by: -23 |