Atkin-Lehner |
3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16905n |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-1.1329287908162E+21 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 1 0 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1429265,1479379131] |
[a1,a2,a3,a4,a6] |
j |
2744564518708084736/9629735831296875 |
j-invariant |
L |
1.3156128345064 |
L(r)(E,1)/r! |
Ω |
0.10963440287553 |
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 |
50715k1 84525bo1 2415c1 |
Quadratic twists by: -3 5 -7 |