Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32472q |
Isogeny class |
Conductor |
32472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
81810736128 = 210 · 311 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-328755,72553214] |
[a1,a2,a3,a4,a6] |
Generators |
[221960:-1736721:512] |
Generators of the group modulo torsion |
j |
5263969051106500/109593 |
j-invariant |
L |
6.4377888450162 |
L(r)(E,1)/r! |
Ω |
0.78046021460866 |
Real period |
R |
8.2487085497936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64944l1 10824a1 |
Quadratic twists by: -4 -3 |