Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45472bk |
Isogeny class |
Conductor |
45472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4793362853888 = 212 · 79 · 29 |
Discriminant |
Eigenvalues |
2- -2 0 7- 4 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52593,-4658753] |
[a1,a2,a3,a4,a6] |
j |
97336000/29 |
j-invariant |
L |
0.63052838314621 |
L(r)(E,1)/r! |
Ω |
0.31526419160682 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45472t2 90944bb1 45472bj2 |
Quadratic twists by: -4 8 -7 |