Atkin-Lehner |
2- 3+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648w |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9448824766464 = 219 · 33 · 192 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 6 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60588051,181521715410] |
[a1,a2,a3,a4,a6] |
j |
222413398866523600296651/85438592 |
j-invariant |
L |
2.4456056013155 |
L(r)(E,1)/r! |
Ω |
0.3057007036772 |
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 |
14706a2 117648t2 |
Quadratic twists by: -4 -3 |