Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9438t |
Isogeny class |
Conductor |
9438 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
310327345164215808 = 29 · 32 · 119 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 11+ 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3648576,2680805601] |
[a1,a2,a3,a4,a6] |
j |
2278031600817539/131609088 |
j-invariant |
L |
5.2156978758024 |
L(r)(E,1)/r! |
Ω |
0.28976099310013 |
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 |
75504cc2 28314m2 9438c2 122694n2 |
Quadratic twists by: -4 -3 -11 13 |