Atkin-Lehner |
2- 3+ 41+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
39114i |
Isogeny class |
Conductor |
39114 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-503980052447232 = -1 · 233 · 33 · 41 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 6 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16415,1353863] |
[a1,a2,a3,a4,a6] |
j |
-18115812010897875/18665927868416 |
j-invariant |
L |
3.4880455409595 |
L(r)(E,1)/r! |
Ω |
0.47564257376799 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
39114d2 |
Quadratic twists by: -3 |