Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448ba |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-211896699715584 = -1 · 218 · 314 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 -2 13+ -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4801,-713569] |
[a1,a2,a3,a4,a6] |
Generators |
[107:96:1] [203:-2592:1] |
Generators of the group modulo torsion |
j |
-276301129/4782969 |
j-invariant |
L |
8.9923259635459 |
L(r)(E,1)/r! |
Ω |
0.24161555563294 |
Real period |
R |
0.66459814198797 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32448cc2 507b2 97344be2 32448x2 |
Quadratic twists by: -4 8 -3 13 |