Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
109520k |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3151872 |
Modular degree for the optimal curve |
Δ |
1.9908657599323E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1643256,443859056] |
[a1,a2,a3,a4,a6] |
j |
46694890801/18944000 |
j-invariant |
L |
0.32409462321786 |
L(r)(E,1)/r! |
Ω |
0.16204733230919 |
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 |
13690b1 2960n1 |
Quadratic twists by: -4 37 |