Atkin-Lehner |
2+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800w |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-6656000000 = -1 · 215 · 56 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 -2 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-3937] |
[a1,a2,a3,a4,a6] |
j |
-8/13 |
j-invariant |
L |
1.2061783945899 |
L(r)(E,1)/r! |
Ω |
0.60308919729495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20800z1 10400u1 832b1 |
Quadratic twists by: -4 8 5 |