Atkin-Lehner |
2+ 3- 7+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822h |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
313452877248 = 26 · 310 · 7 · 172 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20638872576,-1141235058614976] |
[a1,a2,a3,a4,a6] |
j |
1333687537603612137758236841558017/429976512 |
j-invariant |
L |
0.90690247413577 |
L(r)(E,1)/r! |
Ω |
0.012595866883409 |
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 |
29274bm4 |
Quadratic twists by: -3 |