Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520eg |
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 |
[262:4032:1] |
Generators of the group modulo torsion |
j |
7952095936/951345 |
j-invariant |
L |
7.8421481116036 |
L(r)(E,1)/r! |
Ω |
0.54697027131898 |
Real period |
R |
3.5843575615917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996575 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520eo2 41760s1 27840dd2 |
Quadratic twists by: -4 8 -3 |