Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4080w |
Isogeny class |
Conductor |
4080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-2618252328960 = -1 · 226 · 33 · 5 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11560,488560] |
[a1,a2,a3,a4,a6] |
j |
-41713327443241/639221760 |
j-invariant |
L |
1.6249190031474 |
L(r)(E,1)/r! |
Ω |
0.8124595015737 |
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 |
510b1 16320cn1 12240bo1 20400dc1 |
Quadratic twists by: -4 8 -3 5 |