Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117312ci |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-1055808 = -1 · 26 · 33 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -4 -1 -3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20,-54] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
-14526784/16497 |
j-invariant |
L |
2.4384506473902 |
L(r)(E,1)/r! |
Ω |
1.0765876631135 |
Real period |
R |
2.2649810443406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117312dd1 58656j1 |
Quadratic twists by: -4 8 |