Atkin-Lehner |
2- 3+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53592u |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
531749256192 = 210 · 36 · 7 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17808,-908100] |
[a1,a2,a3,a4,a6] |
Generators |
[214:2244:1] |
Generators of the group modulo torsion |
j |
609949084562500/519286383 |
j-invariant |
L |
5.6764780623969 |
L(r)(E,1)/r! |
Ω |
0.4133005013293 |
Real period |
R |
3.4336264074841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184u2 |
Quadratic twists by: -4 |