Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6936h |
Isogeny class |
Conductor |
6936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
578597225186304 = 210 · 34 · 178 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20904,125244] |
[a1,a2,a3,a4,a6] |
j |
40873252/23409 |
j-invariant |
L |
1.7692503482638 |
L(r)(E,1)/r! |
Ω |
0.44231258706596 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13872m2 55488bk2 20808k2 408b2 |
Quadratic twists by: -4 8 -3 17 |