Atkin-Lehner |
2- 3- 37+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
17538g |
Isogeny class |
Conductor |
17538 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-186884928 = -1 · 26 · 33 · 372 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 3 1 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-133,-895] |
[a1,a2,a3,a4,a6] |
Generators |
[38:203:1] |
Generators of the group modulo torsion |
j |
-260305116625/186884928 |
j-invariant |
L |
8.6323477425561 |
L(r)(E,1)/r! |
Ω |
0.68140232553342 |
Real period |
R |
0.35190287486253 |
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 |
52614b1 |
Quadratic twists by: -3 |