Atkin-Lehner |
2- 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36822x |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-1634093762396959872 = -1 · 27 · 32 · 174 · 198 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,122552,59254976] |
[a1,a2,a3,a4,a6] |
j |
4326762872375/34734045312 |
j-invariant |
L |
5.4503301156915 |
L(r)(E,1)/r! |
Ω |
0.19465464698973 |
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 |
110466p2 1938c2 |
Quadratic twists by: -3 -19 |