Atkin-Lehner |
2- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20128f |
Isogeny class |
Conductor |
20128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
272640 |
Modular degree for the optimal curve |
Δ |
-294584388079616 = -1 · 212 · 175 · 373 |
Discriminant |
Eigenvalues |
2- 0 -3 -1 -5 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1925884,-1028711136] |
[a1,a2,a3,a4,a6] |
j |
-192865318814678591808/71920016621 |
j-invariant |
L |
0.25631381180805 |
L(r)(E,1)/r! |
Ω |
0.064078452952013 |
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 |
20128a1 40256d1 |
Quadratic twists by: -4 8 |