Atkin-Lehner |
2- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47396b |
Isogeny class |
Conductor |
47396 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
352512 |
Modular degree for the optimal curve |
Δ |
269182169488 = 24 · 177 · 41 |
Discriminant |
Eigenvalues |
2- -3 2 3 -4 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-173689,-27861623] |
[a1,a2,a3,a4,a6] |
j |
1500469408512/697 |
j-invariant |
L |
1.403161754097 |
L(r)(E,1)/r! |
Ω |
0.23386029226009 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2788c1 |
Quadratic twists by: 17 |