Atkin-Lehner |
2- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
14384d |
Isogeny class |
Conductor |
14384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
47616668401664 = 216 · 293 · 313 |
Discriminant |
Eigenvalues |
2- 2 -3 -2 0 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17552,837056] |
[a1,a2,a3,a4,a6] |
j |
146005204837393/11625163184 |
j-invariant |
L |
1.2441113662368 |
L(r)(E,1)/r! |
Ω |
0.6220556831184 |
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 |
1798b2 57536x2 129456bv2 |
Quadratic twists by: -4 8 -3 |