Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
53424by |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1553201555088605184 = 218 · 316 · 72 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-319611,-35234390] |
[a1,a2,a3,a4,a6] |
Generators |
[20127:320320:27] |
Generators of the group modulo torsion |
j |
1209209052196153/520164058176 |
j-invariant |
L |
4.7924040994799 |
L(r)(E,1)/r! |
Ω |
0.20876640609324 |
Real period |
R |
5.7389550708462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999902 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6678o2 17808y2 |
Quadratic twists by: -4 -3 |