Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9438u |
Isogeny class |
Conductor |
9438 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1284826662125751888 = 24 · 320 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11- 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-283082,19543943] |
[a1,a2,a3,a4,a6] |
Generators |
[15573:180355:27] |
Generators of the group modulo torsion |
j |
1416134368422073/725251155408 |
j-invariant |
L |
5.6691741776887 |
L(r)(E,1)/r! |
Ω |
0.23990181360044 |
Real period |
R |
5.9078067112184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75504cm3 28314u3 78a3 122694x3 |
Quadratic twists by: -4 -3 -11 13 |