Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510bn |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1074622694217187500 = 22 · 312 · 58 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-75448494,-252226953000] |
[a1,a2,a3,a4,a6] |
j |
553808571467029327441/12529687500 |
j-invariant |
L |
1.6392186603008 |
L(r)(E,1)/r! |
Ω |
0.051225583156433 |
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 |
16170cb5 990c5 |
Quadratic twists by: -3 -7 |