Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48552j |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
160657162860063744 = 210 · 33 · 72 · 179 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2818424,-1820158596] |
[a1,a2,a3,a4,a6] |
j |
20389313444/1323 |
j-invariant |
L |
0.2330395578235 |
L(r)(E,1)/r! |
Ω |
0.11651977856339 |
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 |
97104t2 48552o2 |
Quadratic twists by: -4 17 |