Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6080m |
Isogeny class |
Conductor |
6080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-486400 = -1 · 210 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 -4 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19,-19] |
[a1,a2,a3,a4,a6] |
j |
702464/475 |
j-invariant |
L |
1.6734152932727 |
L(r)(E,1)/r! |
Ω |
1.6734152932727 |
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 |
6080e1 1520d1 54720ep1 30400bk1 |
Quadratic twists by: -4 8 -3 5 |