Atkin-Lehner |
5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
1775a |
Isogeny class |
Conductor |
1775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-138671875 = -1 · 59 · 71 |
Discriminant |
Eigenvalues |
0 2 5+ 1 0 -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,117,-332] |
[a1,a2,a3,a4,a6] |
Generators |
[32:187:1] |
Generators of the group modulo torsion |
j |
11239424/8875 |
j-invariant |
L |
3.3175025314738 |
L(r)(E,1)/r! |
Ω |
1.0237964364032 |
Real period |
R |
0.81009818297689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28400v1 113600l1 15975k1 355a1 |
Quadratic twists by: -4 8 -3 5 |