Atkin-Lehner |
2- 5+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
105040k |
Isogeny class |
Conductor |
105040 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
105040 = 24 · 5 · 13 · 101 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 4 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2188,-39393] |
[a1,a2,a3,a4,a6] |
j |
72401186340864/6565 |
j-invariant |
L |
2.792207689548 |
L(r)(E,1)/r! |
Ω |
0.69805192267307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26260a1 |
Quadratic twists by: -4 |