Atkin-Lehner |
2- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21866j |
Isogeny class |
Conductor |
21866 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-15465406346 = -1 · 2 · 13 · 296 |
Discriminant |
Eigenvalues |
2- -1 -3 -1 -6 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,403,5277] |
[a1,a2,a3,a4,a6] |
Generators |
[422:3149:8] |
Generators of the group modulo torsion |
j |
12167/26 |
j-invariant |
L |
3.8550232054027 |
L(r)(E,1)/r! |
Ω |
0.86166162553616 |
Real period |
R |
2.2369704598391 |
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 |
26a3 |
Quadratic twists by: 29 |