Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664dj |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-165364416 = -1 · 26 · 35 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -4 1 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75,-693] |
[a1,a2,a3,a4,a6] |
j |
-738763264/2583819 |
j-invariant |
L |
3.7196675679935 |
L(r)(E,1)/r! |
Ω |
0.74393351361338 |
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 |
41664cn1 20832c1 124992ew1 |
Quadratic twists by: -4 8 -3 |