Atkin-Lehner |
3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78585q |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
3.4379263378688E+24 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-55714825,132899730482] |
[a1,a2,a3,a4,a6] |
Generators |
[-6421:478523:1] |
Generators of the group modulo torsion |
j |
3962560545151764363289/712256552490234375 |
j-invariant |
L |
4.830405527205 |
L(r)(E,1)/r! |
Ω |
0.075426678945099 |
Real period |
R |
0.53367561640045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003555 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6045j3 |
Quadratic twists by: 13 |