Atkin-Lehner |
2- 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
58032bo |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-12911326783340544 = -1 · 223 · 36 · 133 · 312 |
Discriminant |
Eigenvalues |
2- 3- -1 3 0 13- -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45837,-3952206] |
[a1,a2,a3,a4,a6] |
Generators |
[5619:-103168:27] |
Generators of the group modulo torsion |
j |
3566849562639/4323977216 |
j-invariant |
L |
6.966146130299 |
L(r)(E,1)/r! |
Ω |
0.21402998126036 |
Real period |
R |
1.3561468680898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7254d1 6448n1 |
Quadratic twists by: -4 -3 |