Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126bv |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-24529110606 = -1 · 2 · 36 · 76 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11+ 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,-7533] |
[a1,a2,a3,a4,a6] |
Generators |
[153:1809:1] |
Generators of the group modulo torsion |
j |
-1/286 |
j-invariant |
L |
4.387155080005 |
L(r)(E,1)/r! |
Ω |
0.54716265843608 |
Real period |
R |
4.0090044038556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000149103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14014i1 2574i1 |
Quadratic twists by: -3 -7 |