Atkin-Lehner |
3- 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
16185d |
Isogeny class |
Conductor |
16185 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-664669395 = -1 · 36 · 5 · 133 · 83 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 -6 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,19,-1234] |
[a1,a2,a3,a4,a6] |
Generators |
[10:7:1] |
Generators of the group modulo torsion |
j |
719323136/664669395 |
j-invariant |
L |
2.998494089099 |
L(r)(E,1)/r! |
Ω |
0.75320634698092 |
Real period |
R |
1.9904864723445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
48555m1 80925c1 |
Quadratic twists by: -3 5 |