Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384co |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
145448043905286144 = 222 · 38 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-131916,-1844080] |
[a1,a2,a3,a4,a6] |
Generators |
[-352:988:1] |
Generators of the group modulo torsion |
j |
1328460616657/761097744 |
j-invariant |
L |
5.9941442924321 |
L(r)(E,1)/r! |
Ω |
0.27171739807534 |
Real period |
R |
5.5150538719569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998983978 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
120384bv2 30096bk2 40128bm2 |
Quadratic twists by: -4 8 -3 |