Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5775z |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
20010375 = 33 · 53 · 72 · 112 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-728,7497] |
[a1,a2,a3,a4,a6] |
Generators |
[7:49:1] |
Generators of the group modulo torsion |
j |
341385539669/160083 |
j-invariant |
L |
3.1217676665564 |
L(r)(E,1)/r! |
Ω |
2.1317166272834 |
Real period |
R |
0.24407306507516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400ew2 17325bp2 5775k2 40425bo2 |
Quadratic twists by: -4 -3 5 -7 |