Atkin-Lehner |
3+ 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128271a |
Isogeny class |
Conductor |
128271 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.2188069240709E+24 |
Discriminant |
Eigenvalues |
1 3+ -2 2 11+ 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1438417646,-20998420265571] |
[a1,a2,a3,a4,a6] |
Generators |
[-272829117519757428584640102893676:187923276591671864705298991905175:12443816705757052430367944091] |
Generators of the group modulo torsion |
j |
68189672611244300966761393/252507800509796403 |
j-invariant |
L |
4.7252855108559 |
L(r)(E,1)/r! |
Ω |
0.02451480260262 |
Real period |
R |
48.188084434655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9867g2 |
Quadratic twists by: 13 |