Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9438n |
Isogeny class |
Conductor |
9438 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
71280 |
Modular degree for the optimal curve |
Δ |
-27694477618320942 = -1 · 2 · 35 · 1110 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- 13- -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7015,-8002942] |
[a1,a2,a3,a4,a6] |
j |
1472207/1067742 |
j-invariant |
L |
2.6219164937817 |
L(r)(E,1)/r! |
Ω |
0.17479443291878 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75504bu1 28314cg1 9438ba1 122694dc1 |
Quadratic twists by: -4 -3 -11 13 |