Atkin-Lehner |
2- 3+ 5- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
21390n |
Isogeny class |
Conductor |
21390 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
259888500000 = 25 · 36 · 56 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 2 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-121615,16273397] |
[a1,a2,a3,a4,a6] |
Generators |
[167:726:1] |
Generators of the group modulo torsion |
j |
198923168305691771761/259888500000 |
j-invariant |
L |
7.2521672136937 |
L(r)(E,1)/r! |
Ω |
0.83232351057944 |
Real period |
R |
0.58087727680511 |
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 |
64170g2 106950y2 |
Quadratic twists by: -3 5 |