Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128502bn |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
972751915872 = 25 · 38 · 113 · 592 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-152186,-22813095] |
[a1,a2,a3,a4,a6] |
Generators |
[-225:119:1] |
Generators of the group modulo torsion |
j |
401734898254403/1002528 |
j-invariant |
L |
11.579819948358 |
L(r)(E,1)/r! |
Ω |
0.24171642760466 |
Real period |
R |
2.3953315751183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000106248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42834c2 128502k2 |
Quadratic twists by: -3 -11 |