Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810k |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
34992 |
Modular degree for the optimal curve |
Δ |
-529984000 = -1 · 29 · 53 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,192,512] |
[a1,a2,a3,a4,a6] |
j |
93757391/64000 |
j-invariant |
L |
1.0379307179375 |
L(r)(E,1)/r! |
Ω |
1.0379307126829 |
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 |
82810x1 82810co1 |
Quadratic twists by: -7 13 |