Atkin-Lehner |
2- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33640g |
Isogeny class |
Conductor |
33640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
80039426073760000 = 28 · 54 · 298 |
Discriminant |
Eigenvalues |
2- 0 5- 0 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-207727,33803154] |
[a1,a2,a3,a4,a6] |
Generators |
[198:660:1] |
Generators of the group modulo torsion |
j |
6509904336/525625 |
j-invariant |
L |
5.9996347414431 |
L(r)(E,1)/r! |
Ω |
0.33487380169065 |
Real period |
R |
4.4790266595604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67280f2 1160c2 |
Quadratic twists by: -4 29 |