Atkin-Lehner |
2- 3- 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672bp |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-552974917133463552 = -1 · 212 · 39 · 72 · 136 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,108248,-33011212] |
[a1,a2,a3,a4,a6] |
Generators |
[662:18144:1] |
Generators of the group modulo torsion |
j |
34246752505800407/135003641878287 |
j-invariant |
L |
10.660166572786 |
L(r)(E,1)/r! |
Ω |
0.14795987375451 |
Real period |
R |
2.0013245955899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000122508 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7917a1 |
Quadratic twists by: -4 |