Atkin-Lehner |
3- 11- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52173m |
Isogeny class |
Conductor |
52173 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-496160038734327 = -1 · 312 · 116 · 17 · 31 |
Discriminant |
Eigenvalues |
1 3- 0 2 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18558,444447] |
[a1,a2,a3,a4,a6] |
Generators |
[782:13887:8] |
Generators of the group modulo torsion |
j |
969564110609375/680603619663 |
j-invariant |
L |
7.0006755021079 |
L(r)(E,1)/r! |
Ω |
0.33149343119688 |
Real period |
R |
3.5197658250253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17391g2 |
Quadratic twists by: -3 |