Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416eu |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6338790162432 = 217 · 312 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-101896716,-395902637296] |
[a1,a2,a3,a4,a6] |
Generators |
[1020161705148389795:-164041868737270310589:34312283687375] |
Generators of the group modulo torsion |
j |
1224522642327678150914/66339 |
j-invariant |
L |
5.7322165320761 |
L(r)(E,1)/r! |
Ω |
0.04751814821353 |
Real period |
R |
30.158038284324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999867 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416cp6 13104w5 17472br5 |
Quadratic twists by: -4 8 -3 |