Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9438u |
Isogeny class |
Conductor |
9438 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4525799687076096 = 28 · 310 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11- 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-157242,-23845689] |
[a1,a2,a3,a4,a6] |
Generators |
[545:6987:1] |
Generators of the group modulo torsion |
j |
242702053576633/2554695936 |
j-invariant |
L |
5.6691741776887 |
L(r)(E,1)/r! |
Ω |
0.23990181360044 |
Real period |
R |
2.9539033556092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
75504cm2 28314u2 78a2 122694x2 |
Quadratic twists by: -4 -3 -11 13 |