Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31350t |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
11892152250000 = 24 · 32 · 56 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5726,-17152] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:324:1] |
Generators of the group modulo torsion |
j |
1328460616657/761097744 |
j-invariant |
L |
5.4977242370953 |
L(r)(E,1)/r! |
Ω |
0.59530299276991 |
Real period |
R |
1.1543962284472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
94050cp2 1254h2 |
Quadratic twists by: -3 5 |