Atkin-Lehner |
2+ 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832u |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
46739870318592 = 217 · 312 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115489,-15141313] |
[a1,a2,a3,a4,a6] |
Generators |
[1097:34344:1] |
Generators of the group modulo torsion |
j |
1299688897294226/356596911 |
j-invariant |
L |
5.5044500713286 |
L(r)(E,1)/r! |
Ω |
0.25898298775436 |
Real period |
R |
3.5423498668352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999241035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128832z4 16104a3 |
Quadratic twists by: -4 8 |