Atkin-Lehner |
2+ 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126cj |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-12749825088 = -1 · 26 · 37 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11+ 13- -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1269,18549] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:123:1] [18:-45:1] |
Generators of the group modulo torsion |
j |
-6329617441/356928 |
j-invariant |
L |
7.0045428174937 |
L(r)(E,1)/r! |
Ω |
1.2465093268745 |
Real period |
R |
0.35120790215983 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042dq1 126126bc1 |
Quadratic twists by: -3 -7 |