Atkin-Lehner |
2- 31+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
14632c |
Isogeny class |
Conductor |
14632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
-3034749111344 = -1 · 24 · 314 · 593 |
Discriminant |
Eigenvalues |
2- 1 -1 3 -4 -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,429,-83602] |
[a1,a2,a3,a4,a6] |
j |
544456103936/189671819459 |
j-invariant |
L |
1.5022165874731 |
L(r)(E,1)/r! |
Ω |
0.37555414686827 |
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 |
29264c1 117056d1 |
Quadratic twists by: -4 8 |