Atkin-Lehner |
2+ 3- 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810bw |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
103219200 |
Modular degree for the optimal curve |
Δ |
3.0177923230332E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1612575774,-24783671940332] |
[a1,a2,a3,a4,a6] |
j |
636145672356248417386563038689/4139632816232096990822400 |
j-invariant |
L |
0.47667149992666 |
L(r)(E,1)/r! |
Ω |
0.023833607970454 |
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 |
39270by1 |
Quadratic twists by: -3 |