Atkin-Lehner |
3+ 7- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117453c |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-10810969576054767 = -1 · 34 · 76 · 176 · 47 |
Discriminant |
Eigenvalues |
1 3+ 0 7- -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32855,5489016] |
[a1,a2,a3,a4,a6] |
j |
-33339611931625/91891725183 |
j-invariant |
L |
1.4284205826479 |
L(r)(E,1)/r! |
Ω |
0.35710514042959 |
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 |
2397e2 |
Quadratic twists by: -7 |