Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680bd |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
25460516914790400 = 216 · 316 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4432323,3591651778] |
[a1,a2,a3,a4,a6] |
Generators |
[609:33440:1] |
Generators of the group modulo torsion |
j |
3225005357698077121/8526675600 |
j-invariant |
L |
3.3167389435412 |
L(r)(E,1)/r! |
Ω |
0.32707772641431 |
Real period |
R |
2.5351305482507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1710g2 54720fc2 4560bc2 68400eq2 |
Quadratic twists by: -4 8 -3 5 |