Atkin-Lehner |
2+ 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
4422c |
Isogeny class |
Conductor |
4422 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2.9556792800532E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1203669,653058045] |
[a1,a2,a3,a4,a6] |
j |
192860982621159856290503/295567928005315781376 |
j-invariant |
L |
0.70535902689924 |
L(r)(E,1)/r! |
Ω |
0.11755983781654 |
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 |
35376x3 13266m4 110550ca3 48642q3 |
Quadratic twists by: -4 -3 5 -11 |