Atkin-Lehner |
2+ 3- 5- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410o |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
926400488062500 = 22 · 38 · 56 · 11 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-421344,105364908] |
[a1,a2,a3,a4,a6] |
j |
11347683263097527809/1270782562500 |
j-invariant |
L |
1.9092984088707 |
L(r)(E,1)/r! |
Ω |
0.47732460264797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
19470bb3 |
Quadratic twists by: -3 |