Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126fj |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
9.8034206716481E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10165721,-12463785799] |
[a1,a2,a3,a4,a6] |
Generators |
[-1877:2248:1] |
Generators of the group modulo torsion |
j |
1354635530322645817/1143041163264 |
j-invariant |
L |
8.8989156657303 |
L(r)(E,1)/r! |
Ω |
0.084554555471076 |
Real period |
R |
5.2622331113202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039862 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042bo1 18018bj1 |
Quadratic twists by: -3 -7 |