Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9438i |
Isogeny class |
Conductor |
9438 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
285642215435244096 = 26 · 36 · 118 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-167829,-6324435] |
[a1,a2,a3,a4,a6] |
Generators |
[-363:2814:1] |
Generators of the group modulo torsion |
j |
295102348042033/161237583936 |
j-invariant |
L |
2.715238491294 |
L(r)(E,1)/r! |
Ω |
0.25188360514567 |
Real period |
R |
2.6949337271512 |
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 |
75504da2 28314ch2 858e2 122694cp2 |
Quadratic twists by: -4 -3 -11 13 |