Atkin-Lehner |
2- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
5332b |
Isogeny class |
Conductor |
5332 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
474 |
Modular degree for the optimal curve |
Δ |
-661168 = -1 · 24 · 312 · 43 |
Discriminant |
Eigenvalues |
2- 0 -2 2 4 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4,-39] |
[a1,a2,a3,a4,a6] |
j |
442368/41323 |
j-invariant |
L |
2.0477465902301 |
L(r)(E,1)/r! |
Ω |
1.3651643934867 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21328f1 85312h1 47988h1 |
Quadratic twists by: -4 8 -3 |