Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7176a |
Isogeny class |
Conductor |
7176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
216896838912 = 28 · 36 · 133 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 4 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11924,504660] |
[a1,a2,a3,a4,a6] |
Generators |
[38:324:1] |
Generators of the group modulo torsion |
j |
732463638958672/847253277 |
j-invariant |
L |
3.3804086000373 |
L(r)(E,1)/r! |
Ω |
0.99398556853461 |
Real period |
R |
1.7004314283058 |
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 |
14352l2 57408bo2 21528j2 93288x2 |
Quadratic twists by: -4 8 -3 13 |