Atkin-Lehner |
3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56277q |
Isogeny class |
Conductor |
56277 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-333186549007923 = -1 · 37 · 133 · 375 |
Discriminant |
Eigenvalues |
2 3- -2 2 -5 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4251,-884673] |
[a1,a2,a3,a4,a6] |
Generators |
[25520846:389603101:97336] |
Generators of the group modulo torsion |
j |
-5304438784/208031871 |
j-invariant |
L |
10.467121136908 |
L(r)(E,1)/r! |
Ω |
0.23637126039923 |
Real period |
R |
11.070636420912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18759l2 56277r2 |
Quadratic twists by: -3 13 |