Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
22188b |
Isogeny class |
Conductor |
22188 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3473920133707458816 = -1 · 28 · 33 · 439 |
Discriminant |
Eigenvalues |
2- 3+ -3 -5 -3 -1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14060412,20297835576] |
[a1,a2,a3,a4,a6] |
Generators |
[-358:159014:1] |
Generators of the group modulo torsion |
j |
-189962197148752/2146689 |
j-invariant |
L |
1.548197223771 |
L(r)(E,1)/r! |
Ω |
0.22705622212783 |
Real period |
R |
0.56821360852917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88752bl2 66564h2 516d2 |
Quadratic twists by: -4 -3 -43 |