Atkin-Lehner |
3+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36975i |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-56869193654296875 = -1 · 35 · 59 · 173 · 293 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 0 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-471533,-124998157] |
[a1,a2,a3,a4,a6] |
j |
-742063180122947584/3639628393875 |
j-invariant |
L |
0.54640579721052 |
L(r)(E,1)/r! |
Ω |
0.09106763287239 |
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 |
110925r2 7395f2 |
Quadratic twists by: -3 5 |