Atkin-Lehner |
2- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16606k |
Isogeny class |
Conductor |
16606 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
41600 |
Modular degree for the optimal curve |
Δ |
1292345344 = 213 · 193 · 23 |
Discriminant |
Eigenvalues |
2- -3 1 -4 -3 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6357,196653] |
[a1,a2,a3,a4,a6] |
Generators |
[43:16:1] |
Generators of the group modulo torsion |
j |
4141479293379/188416 |
j-invariant |
L |
3.3466802825896 |
L(r)(E,1)/r! |
Ω |
1.4386150078836 |
Real period |
R |
0.089473884049532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16606f1 |
Quadratic twists by: -19 |