Atkin-Lehner |
3+ 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72675k |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1159108842427734375 = 39 · 59 · 174 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 -4 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6477680,6347075572] |
[a1,a2,a3,a4,a6] |
j |
781917237652383/30151081 |
j-invariant |
L |
1.0284544025739 |
L(r)(E,1)/r! |
Ω |
0.25711359481721 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72675o2 72675n2 |
Quadratic twists by: -3 5 |