Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786bc |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19783680 |
Modular degree for the optimal curve |
Δ |
5.9729677585379E+20 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -2 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-64713992,200388587195] |
[a1,a2,a3,a4,a6] |
j |
22826547306863/454896 |
j-invariant |
L |
0.60084983693068 |
L(r)(E,1)/r! |
Ω |
0.15021264534141 |
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 |
41262h1 123786bb1 |
Quadratic twists by: -3 -23 |