Atkin-Lehner |
2- 3- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
26832x |
Isogeny class |
Conductor |
26832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
6399995472 = 24 · 32 · 13 · 434 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -4 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1853,29850] |
[a1,a2,a3,a4,a6] |
Generators |
[714:172:27] |
Generators of the group modulo torsion |
j |
44001181696000/399999717 |
j-invariant |
L |
5.911762322557 |
L(r)(E,1)/r! |
Ω |
1.3442567184461 |
Real period |
R |
2.1988963274035 |
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 |
6708d1 107328bl1 80496bp1 |
Quadratic twists by: -4 8 -3 |