Atkin-Lehner |
2+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21866b |
Isogeny class |
Conductor |
21866 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
292320 |
Modular degree for the optimal curve |
Δ |
568796179421871752 = 23 · 132 · 2910 |
Discriminant |
Eigenvalues |
2+ 2 0 3 4 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-368375,-78186067] |
[a1,a2,a3,a4,a6] |
Generators |
[-8273309514:66261441559:22425768] |
Generators of the group modulo torsion |
j |
13140625/1352 |
j-invariant |
L |
6.2692053784664 |
L(r)(E,1)/r! |
Ω |
0.19507510063896 |
Real period |
R |
16.068697024715 |
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 |
21866f1 |
Quadratic twists by: 29 |