Atkin-Lehner |
3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128673h |
Isogeny class |
Conductor |
128673 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5066880 |
Modular degree for the optimal curve |
Δ |
-4.6924422680605E+19 |
Discriminant |
Eigenvalues |
1 3- 4 3 -5 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-132615,330134458] |
[a1,a2,a3,a4,a6] |
j |
-841/153 |
j-invariant |
L |
2.6337052440832 |
L(r)(E,1)/r! |
Ω |
0.16460658511047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42891g1 128673u1 |
Quadratic twists by: -3 29 |