Atkin-Lehner |
2+ 3- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
6438c |
Isogeny class |
Conductor |
6438 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-5323249441308672 = -1 · 227 · 33 · 29 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-46401,-5211788] |
[a1,a2,a3,a4,a6] |
j |
-11048219103312015625/5323249441308672 |
j-invariant |
L |
1.4308797071175 |
L(r)(E,1)/r! |
Ω |
0.15898663412417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51504c2 19314p2 |
Quadratic twists by: -4 -3 |