Atkin-Lehner |
2+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21866c |
Isogeny class |
Conductor |
21866 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50176 |
Modular degree for the optimal curve |
Δ |
-989786006144 = -1 · 27 · 13 · 296 |
Discriminant |
Eigenvalues |
2+ 3 -1 1 2 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2260,63824] |
[a1,a2,a3,a4,a6] |
Generators |
[5205:67621:27] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
6.7305780889407 |
L(r)(E,1)/r! |
Ω |
0.8071725940652 |
Real period |
R |
4.1692310532021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26b1 |
Quadratic twists by: 29 |