Atkin-Lehner |
3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
23175k |
Isogeny class |
Conductor |
23175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-179234546175 = -1 · 38 · 52 · 1033 |
Discriminant |
Eigenvalues |
-1 3- 5+ 3 -2 -7 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3425,-78928] |
[a1,a2,a3,a4,a6] |
j |
-243735630385/9834543 |
j-invariant |
L |
0.62261385186504 |
L(r)(E,1)/r! |
Ω |
0.31130692593248 |
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 |
7725j1 23175y1 |
Quadratic twists by: -3 5 |