Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872b |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2002066523136 = 210 · 34 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7032,218880] |
[a1,a2,a3,a4,a6] |
Generators |
[32:160:1] |
Generators of the group modulo torsion |
j |
1556068/81 |
j-invariant |
L |
4.8810809957928 |
L(r)(E,1)/r! |
Ω |
0.81770903191939 |
Real period |
R |
2.9846074858288 |
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 |
6936m3 55488du3 41616x3 48a3 |
Quadratic twists by: -4 8 -3 17 |