Atkin-Lehner |
3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58443p |
Isogeny class |
Conductor |
58443 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
684288 |
Modular degree for the optimal curve |
Δ |
765565873661924181 = 39 · 73 · 118 · 232 |
Discriminant |
Eigenvalues |
0 3- 3 7- 11- 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-243129,18813845] |
[a1,a2,a3,a4,a6] |
j |
7414712369152/3571421301 |
j-invariant |
L |
4.5501682001623 |
L(r)(E,1)/r! |
Ω |
0.25278712235178 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
58443n1 |
Quadratic twists by: -11 |