Atkin-Lehner |
2- 3- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
41808m |
Isogeny class |
Conductor |
41808 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-1282286813184 = -1 · 222 · 33 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -6 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27704,1766484] |
[a1,a2,a3,a4,a6] |
Generators |
[100:78:1] |
Generators of the group modulo torsion |
j |
-574125551923897/313058304 |
j-invariant |
L |
9.4692887309995 |
L(r)(E,1)/r! |
Ω |
0.8493864585556 |
Real period |
R |
0.92903222826516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5226a1 125424r1 |
Quadratic twists by: -4 -3 |