Atkin-Lehner |
2- 3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270ce |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-617967423166500 = -1 · 22 · 37 · 53 · 117 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-136430,-19444248] |
[a1,a2,a3,a4,a6] |
Generators |
[604:10588:1] |
Generators of the group modulo torsion |
j |
-158524881613561/348826500 |
j-invariant |
L |
15.01793060331 |
L(r)(E,1)/r! |
Ω |
0.12418948144495 |
Real period |
R |
0.7198068871175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001756 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570o1 |
Quadratic twists by: -11 |