Atkin-Lehner |
3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
16695m |
Isogeny class |
Conductor |
16695 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
-2218608984375 = -1 · 37 · 58 · 72 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 6 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13095,584496] |
[a1,a2,a3,a4,a6] |
j |
-340668004990321/3043359375 |
j-invariant |
L |
3.3032105942876 |
L(r)(E,1)/r! |
Ω |
0.8258026485719 |
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 |
5565g1 83475q1 116865bh1 |
Quadratic twists by: -3 5 -7 |