Atkin-Lehner |
2- 3- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48906bd |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
12412639597602816 = 211 · 36 · 116 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1282694,-558809067] |
[a1,a2,a3,a4,a6] |
Generators |
[-651:435:1] |
Generators of the group modulo torsion |
j |
320158514472168582937/17026940463104 |
j-invariant |
L |
11.377728122019 |
L(r)(E,1)/r! |
Ω |
0.14186334673316 |
Real period |
R |
3.6455467321277 |
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 |
5434f2 |
Quadratic twists by: -3 |