Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600bb |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
98825160000000 = 29 · 3 · 57 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1372408,619289812] |
[a1,a2,a3,a4,a6] |
j |
303735479048/105 |
j-invariant |
L |
1.934530749892 |
L(r)(E,1)/r! |
Ω |
0.48363268234191 |
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 |
117600dd4 23520bs4 16800s2 |
Quadratic twists by: -4 5 -7 |