Atkin-Lehner |
2+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80600b |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3605280 |
Modular degree for the optimal curve |
Δ |
-8.941599586075E+20 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 -4 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,324167,-1436822037] |
[a1,a2,a3,a4,a6] |
Generators |
[3545014671:220630778106:912673] |
Generators of the group modulo torsion |
j |
1506915046400/357663983443 |
j-invariant |
L |
4.9612889864134 |
L(r)(E,1)/r! |
Ω |
0.074170306191304 |
Real period |
R |
16.722625400313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80600bg1 |
Quadratic twists by: 5 |