Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57596c |
Isogeny class |
Conductor |
57596 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-1425370882802944 = -1 · 28 · 75 · 117 · 17 |
Discriminant |
Eigenvalues |
2- 2 -1 7+ 11- 3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1020796,-396633048] |
[a1,a2,a3,a4,a6] |
Generators |
[19479706451740722460027136105404257:616376219016663276818283180719838108:11282649094444439374797299321213] |
Generators of the group modulo torsion |
j |
-259385049258064/3142909 |
j-invariant |
L |
8.3227780475571 |
L(r)(E,1)/r! |
Ω |
0.07509905427096 |
Real period |
R |
55.412003042863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5236e1 |
Quadratic twists by: -11 |