Atkin-Lehner |
2- 3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
115056u |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
291657041252352 = 212 · 38 · 173 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-130395,-18104758] |
[a1,a2,a3,a4,a6] |
j |
82114348569625/97675353 |
j-invariant |
L |
1.0050218446077 |
L(r)(E,1)/r! |
Ω |
0.25125536219715 |
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 |
7191d1 38352k1 |
Quadratic twists by: -4 -3 |