Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086bi |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-7.6821053356207E+26 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,107883121,-1261869420387] |
[a1,a2,a3,a4,a6] |
Generators |
[5311730470816299628:1370386261226182267287:81137747953088] |
Generators of the group modulo torsion |
j |
214628074889266583/1187360416300086 |
j-invariant |
L |
13.557092546447 |
L(r)(E,1)/r! |
Ω |
0.025318317395005 |
Real period |
R |
26.773288934715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005386 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40362f2 3906s2 |
Quadratic twists by: -3 -31 |