Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126dv |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-21126574761836544 = -1 · 233 · 33 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,57814,-4517271] |
[a1,a2,a3,a4,a6] |
Generators |
[81:791:1] |
Generators of the group modulo torsion |
j |
16153623810383661/15968688406528 |
j-invariant |
L |
14.265885453447 |
L(r)(E,1)/r! |
Ω |
0.20852944079271 |
Real period |
R |
0.51827160936082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000085135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126x2 126126dk1 |
Quadratic twists by: -3 -7 |