Atkin-Lehner |
3+ 7- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117453c |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
11491407605097 = 32 · 76 · 173 · 472 |
Discriminant |
Eigenvalues |
1 3+ 0 7- -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44370,3575223] |
[a1,a2,a3,a4,a6] |
j |
82114348569625/97675353 |
j-invariant |
L |
1.4284205826479 |
L(r)(E,1)/r! |
Ω |
0.71421028085917 |
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 |
2397e1 |
Quadratic twists by: -7 |