Atkin-Lehner |
3+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
40749g |
Isogeny class |
Conductor |
40749 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
2357645572636857 = 32 · 179 · 472 |
Discriminant |
Eigenvalues |
1 3+ 0 0 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-261695,-51583968] |
[a1,a2,a3,a4,a6] |
j |
82114348569625/97675353 |
j-invariant |
L |
0.84438691125068 |
L(r)(E,1)/r! |
Ω |
0.21109672781395 |
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 |
122247h1 2397e1 |
Quadratic twists by: -3 17 |