Atkin-Lehner |
2- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
17264f |
Isogeny class |
Conductor |
17264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-3677093888 = -1 · 218 · 132 · 83 |
Discriminant |
Eigenvalues |
2- -1 -4 -3 1 13- -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,240,-2624] |
[a1,a2,a3,a4,a6] |
Generators |
[10:26:1] [24:128:1] |
Generators of the group modulo torsion |
j |
371694959/897728 |
j-invariant |
L |
4.5254731489121 |
L(r)(E,1)/r! |
Ω |
0.72425108781045 |
Real period |
R |
0.78106081321064 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2158d1 69056l1 |
Quadratic twists by: -4 8 |