Atkin-Lehner |
2+ 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
69680j |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
298787840 = 210 · 5 · 13 · 672 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 -6 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-200,-640] |
[a1,a2,a3,a4,a6] |
j |
868327204/291785 |
j-invariant |
L |
2.6067811682657 |
L(r)(E,1)/r! |
Ω |
1.3033905858231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34840j1 |
Quadratic twists by: -4 |