Atkin-Lehner |
3- 5+ 7+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128205m |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
79733568343275 = 36 · 52 · 74 · 113 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65588,-6434508] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:164:1] [-142:93:1] |
Generators of the group modulo torsion |
j |
42801909073169401/109373893475 |
j-invariant |
L |
6.8611298593602 |
L(r)(E,1)/r! |
Ω |
0.2983737890565 |
Real period |
R |
5.7487706063017 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999803016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14245c2 |
Quadratic twists by: -3 |