Atkin-Lehner |
2- 3- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19422u |
Isogeny class |
Conductor |
19422 |
Conductor |
∏ cp |
234 |
Product of Tamagawa factors cp |
Δ |
-6.0657373459635E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 6 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12638219,17697733787] |
[a1,a2,a3,a4,a6] |
j |
-306234264167996269810537/8320627360718127104 |
j-invariant |
L |
3.4844761945629 |
L(r)(E,1)/r! |
Ω |
0.1340183151755 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
2158b2 |
Quadratic twists by: -3 |