Atkin-Lehner |
3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305x |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
1.2313065990257E+23 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32540410,-69426175525] |
[a1,a2,a3,a4,a6] |
j |
6406263345210248521/207003753140625 |
j-invariant |
L |
3.0401485110469 |
L(r)(E,1)/r! |
Ω |
0.063336427777879 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3045f2 |
Quadratic twists by: 29 |