Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090ct |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-11100582163581750 = -1 · 2 · 34 · 53 · 7 · 238 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-768327546,-8197305322374] |
[a1,a2,a3,a4,a6] |
Generators |
[14967310602582:-6153674132509671:86350888] |
Generators of the group modulo torsion |
j |
-640531120905493043809/141750 |
j-invariant |
L |
12.134917905811 |
L(r)(E,1)/r! |
Ω |
0.014337814526734 |
Real period |
R |
23.509932610757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111090df2 |
Quadratic twists by: -23 |