Atkin-Lehner |
5- 7+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
127925i |
Isogeny class |
Conductor |
127925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-4.7699108116048E+19 |
Discriminant |
Eigenvalues |
1 2 5- 7+ -5 5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1519700,793328375] |
[a1,a2,a3,a4,a6] |
j |
-993659786799435625/122109716777083 |
j-invariant |
L |
0.78142884510183 |
L(r)(E,1)/r! |
Ω |
0.19535710685888 |
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 |
127925h1 |
Quadratic twists by: 5 |