Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gu |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-2.5223849183071E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,692581,-95945209] |
[a1,a2,a3,a4,a6] |
Generators |
[10834161390:413483894023:20570824] |
Generators of the group modulo torsion |
j |
704969/484 |
j-invariant |
L |
13.037875616048 |
L(r)(E,1)/r! |
Ω |
0.12013588877518 |
Real period |
R |
13.56575846873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11858r1 106722hf1 9702o1 |
Quadratic twists by: -3 -7 -11 |