Atkin-Lehner |
2+ 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168bc |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-2.2316382270809E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -4 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34795664,-79013511948] |
[a1,a2,a3,a4,a6] |
j |
-2274935866118114391777314/10896671030668641 |
j-invariant |
L |
1.9891526947076 |
L(r)(E,1)/r! |
Ω |
0.031080511038904 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40584o2 |
Quadratic twists by: -4 |