Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
646d |
Isogeny class |
Conductor |
646 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
351424 = 26 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 -2 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6486,202661] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-21:1] |
Generators of the group modulo torsion |
j |
30171143454741297/351424 |
j-invariant |
L |
2.5834562462254 |
L(r)(E,1)/r! |
Ω |
2.1316501108737 |
Real period |
R |
0.40398378593294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5168c2 20672a2 5814j2 16150j2 |
Quadratic twists by: -4 8 -3 5 |