Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6840u |
Isogeny class |
Conductor |
6840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1884413258496000 = 211 · 318 · 53 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-914187,336428134] |
[a1,a2,a3,a4,a6] |
Generators |
[558:230:1] |
Generators of the group modulo torsion |
j |
56594125707224978/1262172375 |
j-invariant |
L |
4.5462401841545 |
L(r)(E,1)/r! |
Ω |
0.43294430936434 |
Real period |
R |
3.5002501752319 |
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 |
13680t3 54720o4 2280c3 34200ba4 |
Quadratic twists by: -4 8 -3 5 |