Atkin-Lehner |
3+ 5+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39975a |
Isogeny class |
Conductor |
39975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1.3320154980947E+19 |
Discriminant |
Eigenvalues |
0 3+ 5+ -5 3 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-779403,-198005407] |
[a1,a2,a3,a4,a6] |
Generators |
[-537:8086:1] |
Generators of the group modulo torsion |
j |
2094452328865244938240/532806199237882557 |
j-invariant |
L |
1.6498445442728 |
L(r)(E,1)/r! |
Ω |
0.16369045530488 |
Real period |
R |
5.0395257964196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119925s2 39975y2 |
Quadratic twists by: -3 5 |