Atkin-Lehner |
5- 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
128975l |
Isogeny class |
Conductor |
128975 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2059904 |
Modular degree for the optimal curve |
Δ |
-58334349201233875 = -1 · 53 · 7 · 11 · 677 |
Discriminant |
Eigenvalues |
1 2 5- 7+ 11- 1 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-606580,181954575] |
[a1,a2,a3,a4,a6] |
j |
-197459975193585878717/466674793609871 |
j-invariant |
L |
4.9382652183868 |
L(r)(E,1)/r! |
Ω |
0.35273310428713 |
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 |
128975p1 |
Quadratic twists by: 5 |