Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6840u |
Isogeny class |
Conductor |
6840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
186988500000000000 = 211 · 39 · 512 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243867,-41421674] |
[a1,a2,a3,a4,a6] |
Generators |
[2142:96250:1] |
Generators of the group modulo torsion |
j |
1074299413481138/125244140625 |
j-invariant |
L |
4.5462401841545 |
L(r)(E,1)/r! |
Ω |
0.21647215468217 |
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 |
13680t4 54720o3 2280c4 34200ba3 |
Quadratic twists by: -4 8 -3 5 |