Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
121680fr |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-110703490560000 = -1 · 212 · 39 · 54 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14547,843986] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:1080:1] |
Generators of the group modulo torsion |
j |
-51895117/16875 |
j-invariant |
L |
9.0853801192787 |
L(r)(E,1)/r! |
Ω |
0.56044541274169 |
Real period |
R |
0.50659372157808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047383 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7605v1 40560bn1 121680ej1 |
Quadratic twists by: -4 -3 13 |