Atkin-Lehner |
2+ 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
71232z |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-217128812544 = -1 · 214 · 36 · 73 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 1 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-981,-25677] |
[a1,a2,a3,a4,a6] |
j |
-6379012096/13252491 |
j-invariant |
L |
2.4010131446302 |
L(r)(E,1)/r! |
Ω |
0.4001688568663 |
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 |
71232ci1 4452c1 |
Quadratic twists by: -4 8 |