Atkin-Lehner |
2- 3- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290ch |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
19932639489000000 = 26 · 310 · 56 · 72 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-125627,15766251] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:5754:1] |
Generators of the group modulo torsion |
j |
300775120462810729/27342441000000 |
j-invariant |
L |
9.5697075265605 |
L(r)(E,1)/r! |
Ω |
0.37483974057242 |
Real period |
R |
0.70917029412319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17430a2 |
Quadratic twists by: -3 |