Atkin-Lehner |
3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58443a |
Isogeny class |
Conductor |
58443 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1778925379077 = 34 · 72 · 117 · 23 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ 11- 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-163110,-25423317] |
[a1,a2,a3,a4,a6] |
Generators |
[6846:168639:8] [1326:45075:1] |
Generators of the group modulo torsion |
j |
270902819202625/1004157 |
j-invariant |
L |
10.186269979032 |
L(r)(E,1)/r! |
Ω |
0.23756319508316 |
Real period |
R |
10.71953714827 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5313c2 |
Quadratic twists by: -11 |