Atkin-Lehner |
2+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16606d |
Isogeny class |
Conductor |
16606 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
438480 |
Modular degree for the optimal curve |
Δ |
-76481369653379072 = -1 · 221 · 194 · 234 |
Discriminant |
Eigenvalues |
2+ -1 2 -2 5 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3043959,-2045431787] |
[a1,a2,a3,a4,a6] |
j |
-23934586380268822633/586869112832 |
j-invariant |
L |
0.68578889445019 |
L(r)(E,1)/r! |
Ω |
0.057149074537516 |
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 |
16606q1 |
Quadratic twists by: -19 |