Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560fn |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
11931992064000 = 217 · 39 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-191808012,1022464480016] |
[a1,a2,a3,a4,a6] |
Generators |
[7997:155:1] [61357:14840595:1] |
Generators of the group modulo torsion |
j |
8167450100737631904002/124875 |
j-invariant |
L |
12.169196335305 |
L(r)(E,1)/r! |
Ω |
0.24999501045058 |
Real period |
R |
16.225918953788 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560ck4 26640g4 35520bp4 |
Quadratic twists by: -4 8 -3 |