Atkin-Lehner |
3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58443p |
Isogeny class |
Conductor |
58443 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
5997500620123359501 = 33 · 7 · 118 · 236 |
Discriminant |
Eigenvalues |
0 3- 3 7- 11- 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10305489,-12736485250] |
[a1,a2,a3,a4,a6] |
j |
564661380021747712/27978783021 |
j-invariant |
L |
4.5501682001623 |
L(r)(E,1)/r! |
Ω |
0.084262374117261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58443n2 |
Quadratic twists by: -11 |