Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222m |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
20704613210062848 = 216 · 312 · 112 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 11+ -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-268110,-52916652] |
[a1,a2,a3,a4,a6] |
j |
595099203230897/5780865024 |
j-invariant |
L |
0.83972274037238 |
L(r)(E,1)/r! |
Ω |
0.20993068551752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074bi1 57222z1 |
Quadratic twists by: -3 17 |