Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8360k |
Isogeny class |
Conductor |
8360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
87362000 = 24 · 53 · 112 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-111,10] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:19:1] |
Generators of the group modulo torsion |
j |
9538484224/5460125 |
j-invariant |
L |
2.805020355634 |
L(r)(E,1)/r! |
Ω |
1.6378969909838 |
Real period |
R |
0.85628716917944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16720g1 66880bf1 75240n1 41800b1 |
Quadratic twists by: -4 8 -3 5 |