Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240gg |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
46821001653780480 = 217 · 36 · 5 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10578561,13246572321] |
[a1,a2,a3,a4,a6] |
j |
998834675784351577922/357215893965 |
j-invariant |
L |
2.3184224967972 |
L(r)(E,1)/r! |
Ω |
0.28980277831153 |
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 |
114240di6 28560cb6 |
Quadratic twists by: -4 8 |