Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840bh |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9800145681776640 = 218 · 37 · 5 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68268,4944688] |
[a1,a2,a3,a4,a6] |
j |
184122897769/51282015 |
j-invariant |
L |
1.5219652662696 |
L(r)(E,1)/r! |
Ω |
0.38049128708336 |
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 |
123840fc3 1935k4 41280bk3 |
Quadratic twists by: -4 8 -3 |