Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050jg |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
448000 |
Modular degree for the optimal curve |
Δ |
6026850522000 = 24 · 35 · 53 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20633,-1136343] |
[a1,a2,a3,a4,a6] |
j |
4386781853/27216 |
j-invariant |
L |
7.969867825046 |
L(r)(E,1)/r! |
Ω |
0.39849341882103 |
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 |
127050bv1 1050i1 |
Quadratic twists by: 5 -11 |