Atkin-Lehner |
11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
55451a |
Isogeny class |
Conductor |
55451 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
12105604930818421 = 113 · 717 |
Discriminant |
Eigenvalues |
0 0 -1 -3 11+ -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4073128,-3164022718] |
[a1,a2,a3,a4,a6] |
j |
58338840674304/94501 |
j-invariant |
L |
0.21254337684995 |
L(r)(E,1)/r! |
Ω |
0.1062716888436 |
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 |
781b1 |
Quadratic twists by: -71 |