Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520ds |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
86787505520640000 = 223 · 39 · 54 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-268812,51737616] |
[a1,a2,a3,a4,a6] |
Generators |
[-288:10260:1] |
Generators of the group modulo torsion |
j |
416330716563/16820000 |
j-invariant |
L |
8.1060232586307 |
L(r)(E,1)/r! |
Ω |
0.33740289808315 |
Real period |
R |
3.0030948545843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001712 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520j2 20880bf2 83520dm2 |
Quadratic twists by: -4 8 -3 |