Atkin-Lehner |
2- 3- 5- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
40710bg |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
562942968750 = 2 · 32 · 58 · 23 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2550,33750] |
[a1,a2,a3,a4,a6] |
j |
1833812369647201/562942968750 |
j-invariant |
L |
6.8275554473147 |
L(r)(E,1)/r! |
Ω |
0.85344443091033 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122130s2 |
Quadratic twists by: -3 |