Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416cv |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-7131138932736 = -1 · 214 · 314 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -6 13- 8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13152,594592] |
[a1,a2,a3,a4,a6] |
j |
-21064523776/597051 |
j-invariant |
L |
1.4863692457673 |
L(r)(E,1)/r! |
Ω |
0.74318462268586 |
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 |
52416fd1 3276i1 17472bi1 |
Quadratic twists by: -4 8 -3 |