Atkin-Lehner |
5+ 31- 59- |
Signs for the Atkin-Lehner involutions |
Class |
9145a |
Isogeny class |
Conductor |
9145 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
7087375 = 53 · 312 · 59 |
Discriminant |
Eigenvalues |
-1 0 5+ 0 4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39333,3012302] |
[a1,a2,a3,a4,a6] |
Generators |
[127:167:1] |
Generators of the group modulo torsion |
j |
6729527574851074209/7087375 |
j-invariant |
L |
2.469541140561 |
L(r)(E,1)/r! |
Ω |
1.4880349058437 |
Real period |
R |
3.3191978640592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82305h2 45725a2 |
Quadratic twists by: -3 5 |