Atkin-Lehner |
2+ 3- 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39330g |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-222950128320000 = -1 · 29 · 313 · 54 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54135,-4887459] |
[a1,a2,a3,a4,a6] |
j |
-24067729389429361/305830080000 |
j-invariant |
L |
0.62550553091779 |
L(r)(E,1)/r! |
Ω |
0.1563763827456 |
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 |
13110bo1 |
Quadratic twists by: -3 |