Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680a |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
26830440000 = 26 · 34 · 54 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1106,-11400] |
[a1,a2,a3,a4,a6] |
j |
2339923888576/419225625 |
j-invariant |
L |
1.6759841276941 |
L(r)(E,1)/r! |
Ω |
0.83799206387778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43680bw1 87360dq2 |
Quadratic twists by: -4 8 |