Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786z |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3815424 |
Modular degree for the optimal curve |
Δ |
-501695568275433012 = -1 · 22 · 36 · 133 · 238 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -5 13+ -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-910244,-335765285] |
[a1,a2,a3,a4,a6] |
j |
-1460987577/8788 |
j-invariant |
L |
0.92705532135285 |
L(r)(E,1)/r! |
Ω |
0.077254536941782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13754b1 123786ba1 |
Quadratic twists by: -3 -23 |