Atkin-Lehner |
2- 3- 11- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110682bz |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-31362669732341376 = -1 · 27 · 311 · 114 · 133 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11- 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-134312,20807403] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:-5127:1] |
Generators of the group modulo torsion |
j |
-367567920009279289/43021494831744 |
j-invariant |
L |
13.804253625797 |
L(r)(E,1)/r! |
Ω |
0.36017650124242 |
Real period |
R |
0.22813308456749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001544 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36894d1 |
Quadratic twists by: -3 |