Atkin-Lehner |
2- 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550bs |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4199040 |
Modular degree for the optimal curve |
Δ |
-5.0494691571621E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25431263,-50543500219] |
[a1,a2,a3,a4,a6] |
Generators |
[2846487:189560734:343] |
Generators of the group modulo torsion |
j |
-186263370516259764025/5170656416933952 |
j-invariant |
L |
6.5324807425028 |
L(r)(E,1)/r! |
Ω |
0.033559586655653 |
Real period |
R |
5.40703317549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97650bb1 32550bj1 |
Quadratic twists by: -3 5 |