Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222bh |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
20904389907588 = 22 · 39 · 11 · 176 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14360,-621129] |
[a1,a2,a3,a4,a6] |
Generators |
[1577:61635:1] |
Generators of the group modulo torsion |
j |
18609625/1188 |
j-invariant |
L |
8.0683813567192 |
L(r)(E,1)/r! |
Ω |
0.43787323306588 |
Real period |
R |
2.303286872584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074b1 198b1 |
Quadratic twists by: -3 17 |