Atkin-Lehner |
2+ 7+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13202a |
Isogeny class |
Conductor |
13202 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
25477061176 = 23 · 72 · 23 · 414 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 4 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-736,552] |
[a1,a2,a3,a4,a6] |
Generators |
[31:67:1] |
Generators of the group modulo torsion |
j |
44125438017753/25477061176 |
j-invariant |
L |
3.7829009545685 |
L(r)(E,1)/r! |
Ω |
1.013279517043 |
Real period |
R |
3.7333242120672 |
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 |
105616v2 118818bg2 92414g2 |
Quadratic twists by: -4 -3 -7 |