Atkin-Lehner |
3+ 5+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
14235b |
Isogeny class |
Conductor |
14235 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-10064748456169875 = -1 · 319 · 53 · 13 · 732 |
Discriminant |
Eigenvalues |
0 3+ 5+ -3 -1 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,7819,4816856] |
[a1,a2,a3,a4,a6] |
j |
52859348593934336/10064748456169875 |
j-invariant |
L |
0.62901466360795 |
L(r)(E,1)/r! |
Ω |
0.31450733180398 |
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 |
42705j1 71175h1 |
Quadratic twists by: -3 5 |