Atkin-Lehner |
2- 3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55692y |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
11404715356944 = 24 · 313 · 7 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 13+ 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9957,-346187] |
[a1,a2,a3,a4,a6] |
j |
9359695554304/977770521 |
j-invariant |
L |
2.8869625339077 |
L(r)(E,1)/r! |
Ω |
0.48116042255496 |
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 |
18564n1 |
Quadratic twists by: -3 |