Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600r |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
17242308000000 = 28 · 310 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7708,164588] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:648:1] |
Generators of the group modulo torsion |
j |
12663250000/4310577 |
j-invariant |
L |
9.4922865741496 |
L(r)(E,1)/r! |
Ω |
0.63724448913452 |
Real period |
R |
1.4895831559401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43800e2 3504a2 |
Quadratic twists by: -4 5 |