Atkin-Lehner |
2- 3+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
53328i |
Isogeny class |
Conductor |
53328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
96571879269617664 = 212 · 32 · 1110 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 11+ -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-869880005,9875290687149] |
[a1,a2,a3,a4,a6] |
Generators |
[4763906940:19825217049:274625] |
Generators of the group modulo torsion |
j |
17772225273611950625003524096/23577118962309 |
j-invariant |
L |
5.6613938825039 |
L(r)(E,1)/r! |
Ω |
0.15156301302024 |
Real period |
R |
9.3383500527066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3333g2 |
Quadratic twists by: -4 |