Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126fm |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-3811376134457892 = -1 · 22 · 321 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44015,4642971] |
[a1,a2,a3,a4,a6] |
Generators |
[419:7512:1] |
Generators of the group modulo torsion |
j |
-263993340837625/106698472452 |
j-invariant |
L |
11.356590850861 |
L(r)(E,1)/r! |
Ω |
0.41445218598653 |
Real period |
R |
3.4251812503596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042i1 126126eo1 |
Quadratic twists by: -3 -7 |