Atkin-Lehner |
2+ 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770w |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-22316877000 = -1 · 23 · 36 · 53 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-142344,20706408] |
[a1,a2,a3,a4,a6] |
j |
-437537617105223809/30613000 |
j-invariant |
L |
1.8294268392887 |
L(r)(E,1)/r! |
Ω |
0.91471341964437 |
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 |
2530f2 113850fa2 |
Quadratic twists by: -3 5 |