Atkin-Lehner |
2- 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488bp |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
662124782592 = 210 · 39 · 7 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6915,217838] |
[a1,a2,a3,a4,a6] |
j |
48986090500/886977 |
j-invariant |
L |
1.8194001029524 |
L(r)(E,1)/r! |
Ω |
0.90970056735068 |
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 |
41496g1 |
Quadratic twists by: -3 |