Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200bt |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-12083500000000 = -1 · 28 · 59 · 11 · 133 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44533,-3635937] |
[a1,a2,a3,a4,a6] |
Generators |
[563:12250:1] |
Generators of the group modulo torsion |
j |
-2441851961344/3020875 |
j-invariant |
L |
3.9698040343413 |
L(r)(E,1)/r! |
Ω |
0.16431077602696 |
Real period |
R |
3.0200423630189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14300c1 11440m1 |
Quadratic twists by: -4 5 |