Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126bq |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
2901106969592832 = 210 · 37 · 77 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54252,4129488] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:2442:1] |
Generators of the group modulo torsion |
j |
205901592625/33825792 |
j-invariant |
L |
3.8642380771683 |
L(r)(E,1)/r! |
Ω |
0.43175236918224 |
Real period |
R |
0.55938288102932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999820244 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042dj1 18018m1 |
Quadratic twists by: -3 -7 |