Atkin-Lehner |
2- 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
39050q |
Isogeny class |
Conductor |
39050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
15722603875000 = 23 · 56 · 116 · 71 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 11- -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48780,-4130153] |
[a1,a2,a3,a4,a6] |
j |
821524892664393/1006246648 |
j-invariant |
L |
11.565761798236 |
L(r)(E,1)/r! |
Ω |
0.32127116106184 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1562b1 |
Quadratic twists by: 5 |