Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222c |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
835584 |
Modular degree for the optimal curve |
Δ |
1506314591701037712 = 24 · 38 · 112 · 179 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11+ 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-944217,348411613] |
[a1,a2,a3,a4,a6] |
j |
1076890625/17424 |
j-invariant |
L |
1.0754806078679 |
L(r)(E,1)/r! |
Ω |
0.26887015227124 |
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 |
19074s1 57222p1 |
Quadratic twists by: -3 17 |