Atkin-Lehner |
5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
14575b |
Isogeny class |
Conductor |
14575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-260488983154296875 = -1 · 515 · 115 · 53 |
Discriminant |
Eigenvalues |
1 -1 5+ 3 11+ -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-120824025,511134614500] |
[a1,a2,a3,a4,a6] |
Generators |
[14096160:14295670:2197] |
Generators of the group modulo torsion |
j |
-12484282556165650627532689/16671294921875 |
j-invariant |
L |
4.7071305343916 |
L(r)(E,1)/r! |
Ω |
0.19815658726719 |
Real period |
R |
5.9386500838912 |
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 |
2915a1 |
Quadratic twists by: 5 |