Atkin-Lehner |
2- 3+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
41748a |
Isogeny class |
Conductor |
41748 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
95760 |
Modular degree for the optimal curve |
Δ |
-25461788583168 = -1 · 28 · 35 · 78 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 6 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3316,230280] |
[a1,a2,a3,a4,a6] |
j |
2731568/17253 |
j-invariant |
L |
1.4580724711697 |
L(r)(E,1)/r! |
Ω |
0.48602415708393 |
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 |
125244j1 41748o1 |
Quadratic twists by: -3 -7 |