Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520eo |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2840700948480 = 212 · 314 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5988,158848] |
[a1,a2,a3,a4,a6] |
Generators |
[26:144:1] |
Generators of the group modulo torsion |
j |
7952095936/951345 |
j-invariant |
L |
6.0365659124882 |
L(r)(E,1)/r! |
Ω |
0.77776527117586 |
Real period |
R |
1.9403559581564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520eg2 41760t1 27840ej2 |
Quadratic twists by: -4 8 -3 |