Atkin-Lehner |
2- 3- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648bl |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10948022273359872 = 214 · 316 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -6 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145947,-20861750] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:202:1] [-193:342:1] |
Generators of the group modulo torsion |
j |
115138814303449/3666470508 |
j-invariant |
L |
8.6754880408248 |
L(r)(E,1)/r! |
Ω |
0.24473596278359 |
Real period |
R |
8.8620895228111 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999993391 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14706s2 39216x2 |
Quadratic twists by: -4 -3 |