Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490ci |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
-1.344614799E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9152619,-54761873055] |
[a1,a2,a3,a4,a6] |
Generators |
[6170:483335:1] |
Generators of the group modulo torsion |
j |
47863422597861003671/759000000000000000 |
j-invariant |
L |
11.132620875538 |
L(r)(E,1)/r! |
Ω |
0.041840981571092 |
Real period |
R |
4.4344963773291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590l2 |
Quadratic twists by: -11 |