Atkin-Lehner |
2- 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
26166q |
Isogeny class |
Conductor |
26166 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-23747685948 = -1 · 22 · 34 · 77 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,342,-6861] |
[a1,a2,a3,a4,a6] |
j |
37595375/201852 |
j-invariant |
L |
2.4083282996507 |
L(r)(E,1)/r! |
Ω |
0.60208207491275 |
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 |
78498o1 3738d1 |
Quadratic twists by: -3 -7 |