Atkin-Lehner |
5+ 43- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
65575b |
Isogeny class |
Conductor |
65575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14016 |
Modular degree for the optimal curve |
Δ |
-204921875 = -1 · 57 · 43 · 61 |
Discriminant |
Eigenvalues |
0 -1 5+ -2 2 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-533,4968] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:721:8] [12:-13:1] |
Generators of the group modulo torsion |
j |
-1073741824/13115 |
j-invariant |
L |
6.5283968716881 |
L(r)(E,1)/r! |
Ω |
1.7888514825734 |
Real period |
R |
0.91237267812512 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13115a1 |
Quadratic twists by: 5 |