Atkin-Lehner |
2- 3- 7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526bh |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
3954868557140141928 = 23 · 37 · 73 · 174 · 534 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-547349,123175941] |
[a1,a2,a3,a4,a6] |
Generators |
[-415:16902:1] |
Generators of the group modulo torsion |
j |
24876451290015682057/5425059749163432 |
j-invariant |
L |
13.67760372226 |
L(r)(E,1)/r! |
Ω |
0.23374615044925 |
Real period |
R |
0.81270522602118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017491 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37842h4 |
Quadratic twists by: -3 |