Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600t |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
87362000000000 = 210 · 59 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 11- 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68408,-6894812] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:44:1] |
Generators of the group modulo torsion |
j |
2212741893316/5460125 |
j-invariant |
L |
4.794343452656 |
L(r)(E,1)/r! |
Ω |
0.29524782189355 |
Real period |
R |
2.0297962827992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003302 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41800o2 16720k2 |
Quadratic twists by: -4 5 |