Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126u |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
489673726542 = 2 · 33 · 78 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20148,1105306] |
[a1,a2,a3,a4,a6] |
Generators |
[23:797:1] |
Generators of the group modulo torsion |
j |
284760442539/154154 |
j-invariant |
L |
3.2514223638453 |
L(r)(E,1)/r! |
Ω |
0.92024852562016 |
Real period |
R |
0.88330005610563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000204833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126dr2 18018d2 |
Quadratic twists by: -3 -7 |