Atkin-Lehner |
2- 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110352bg |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-14782003851276288 = -1 · 212 · 33 · 117 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58202613,-170888382531] |
[a1,a2,a3,a4,a6] |
j |
-3004935183806464000/2037123 |
j-invariant |
L |
1.4757999428888 |
L(r)(E,1)/r! |
Ω |
0.027329641681502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6897d2 10032f2 |
Quadratic twists by: -4 -11 |