Atkin-Lehner |
2- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21866k |
Isogeny class |
Conductor |
21866 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
3587974272272 = 24 · 13 · 297 |
Discriminant |
Eigenvalues |
2- 2 -2 2 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5484,-129283] |
[a1,a2,a3,a4,a6] |
Generators |
[24372:454537:64] |
Generators of the group modulo torsion |
j |
30664297/6032 |
j-invariant |
L |
10.36965817857 |
L(r)(E,1)/r! |
Ω |
0.56239783419204 |
Real period |
R |
4.6095741964707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
754c1 |
Quadratic twists by: 29 |