Atkin-Lehner |
2- 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080bz |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
8.022164823358E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-196263040,1058218740788] |
[a1,a2,a3,a4,a6] |
Generators |
[8276:29250:1] |
Generators of the group modulo torsion |
j |
204117072508351537504018561/1958536333827640350 |
j-invariant |
L |
7.9759400562626 |
L(r)(E,1)/r! |
Ω |
0.11851929119881 |
Real period |
R |
4.2060347178434 |
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 |
6510r5 |
Quadratic twists by: -4 |