Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470gg |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
29106236250 = 2 · 39 · 54 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1787,-27439] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:167:8] |
Generators of the group modulo torsion |
j |
5119826881/236250 |
j-invariant |
L |
13.204863485142 |
L(r)(E,1)/r! |
Ω |
0.73642167468646 |
Real period |
R |
2.2413896727243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35490bi1 106470bl1 |
Quadratic twists by: -3 13 |