Atkin-Lehner |
2- 3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
89700u |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
139932000000 = 28 · 32 · 56 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27708,-1784412] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:6:1] [192:102:1] |
Generators of the group modulo torsion |
j |
588159250000/34983 |
j-invariant |
L |
12.026507015601 |
L(r)(E,1)/r! |
Ω |
0.3700398563729 |
Real period |
R |
5.4167620095315 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3588c2 |
Quadratic twists by: 5 |