Atkin-Lehner |
2- 3- 11- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
105534bn |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-125154986814 = -1 · 2 · 36 · 115 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 4 11- 13+ 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33818,2402183] |
[a1,a2,a3,a4,a6] |
Generators |
[1022:2631:8] |
Generators of the group modulo torsion |
j |
-5867159620385881/171680366 |
j-invariant |
L |
12.386159342234 |
L(r)(E,1)/r! |
Ω |
0.9719813285344 |
Real period |
R |
2.5486414162805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11726a1 |
Quadratic twists by: -3 |