Atkin-Lehner |
2+ 3- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57288g |
Isogeny class |
Conductor |
57288 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
223872 |
Modular degree for the optimal curve |
Δ |
-52392792646656 = -1 · 210 · 311 · 7 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11+ 4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-119960,15955872] |
[a1,a2,a3,a4,a6] |
Generators |
[196:-108:1] |
Generators of the group modulo torsion |
j |
-186438992368779364/51164836569 |
j-invariant |
L |
8.9106721930455 |
L(r)(E,1)/r! |
Ω |
0.61685362738954 |
Real period |
R |
0.65660723427185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114576g1 |
Quadratic twists by: -4 |