Atkin-Lehner |
2+ 3- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832m |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
57126508167168 = 217 · 310 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74383474177,-7808438260877473] |
[a1,a2,a3,a4,a6] |
j |
347250725847084265534751416342274/435840669 |
j-invariant |
L |
3.291037087661 |
L(r)(E,1)/r! |
Ω |
0.0091417731450426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128832be6 16104g5 |
Quadratic twists by: -4 8 |