Atkin-Lehner |
3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48825p |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1609119421875 = -1 · 37 · 56 · 72 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -2 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2583,-34884] |
[a1,a2,a3,a4,a6] |
j |
167284151/141267 |
j-invariant |
L |
1.8643089818022 |
L(r)(E,1)/r! |
Ω |
0.46607724538183 |
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 |
16275o2 1953f2 |
Quadratic twists by: -3 5 |