Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6840m |
Isogeny class |
Conductor |
6840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
53187840000 = 211 · 37 · 54 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21963,-1252762] |
[a1,a2,a3,a4,a6] |
Generators |
[238:2646:1] |
Generators of the group modulo torsion |
j |
784767874322/35625 |
j-invariant |
L |
3.6713513043986 |
L(r)(E,1)/r! |
Ω |
0.39217311902226 |
Real period |
R |
4.6807788784093 |
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 |
13680l4 54720cc4 2280a4 34200q4 |
Quadratic twists by: -4 8 -3 5 |