Atkin-Lehner |
3- 11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
52173n |
Isogeny class |
Conductor |
52173 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
4226013 = 36 · 11 · 17 · 31 |
Discriminant |
Eigenvalues |
0 3- 4 -3 11- 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-48,81] |
[a1,a2,a3,a4,a6] |
j |
16777216/5797 |
j-invariant |
L |
2.2632208612968 |
L(r)(E,1)/r! |
Ω |
2.2632208616126 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5797a1 |
Quadratic twists by: -3 |