Atkin-Lehner |
2- 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150fb |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
347465320312500 = 22 · 36 · 59 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4055555,3144586447] |
[a1,a2,a3,a4,a6] |
Generators |
[1183:596:1] |
Generators of the group modulo torsion |
j |
5181039829561653/244036 |
j-invariant |
L |
10.8107784816 |
L(r)(E,1)/r! |
Ω |
0.40262008157066 |
Real period |
R |
3.3563832767353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011385 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12350i2 111150cs2 |
Quadratic twists by: -3 5 |