Atkin-Lehner |
2+ 3- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
122976i |
Isogeny class |
Conductor |
122976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1475989433856 = 29 · 39 · 74 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-158259,-24232570] |
[a1,a2,a3,a4,a6] |
j |
1174441730894216/3954447 |
j-invariant |
L |
3.8298120879386 |
L(r)(E,1)/r! |
Ω |
0.23936328592245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122976bj4 40992m4 |
Quadratic twists by: -4 -3 |