Atkin-Lehner |
3- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
86031i |
Isogeny class |
Conductor |
86031 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-12345142315671 = -1 · 36 · 118 · 79 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2201,-173104] |
[a1,a2,a3,a4,a6] |
j |
-912673/9559 |
j-invariant |
L |
0.604994827109 |
L(r)(E,1)/r! |
Ω |
0.30249738785425 |
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 |
9559c1 7821a1 |
Quadratic twists by: -3 -11 |