Atkin-Lehner |
3- 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
112677m |
Isogeny class |
Conductor |
112677 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
83136 |
Modular degree for the optimal curve |
Δ |
-12696106329 = -1 · 32 · 234 · 712 |
Discriminant |
Eigenvalues |
1 3- 3 4 2 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,253,-5173] |
[a1,a2,a3,a4,a6] |
j |
6436343/45369 |
j-invariant |
L |
7.551458839902 |
L(r)(E,1)/r! |
Ω |
0.62928827330376 |
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 |
112677n1 |
Quadratic twists by: -23 |