Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126ef |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1024157246112 = 25 · 33 · 73 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2771,28627] |
[a1,a2,a3,a4,a6] |
Generators |
[79:-586:1] |
Generators of the group modulo torsion |
j |
253996928037/110588192 |
j-invariant |
L |
8.6533738329237 |
L(r)(E,1)/r! |
Ω |
0.78954482030985 |
Real period |
R |
0.27399881077255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000185202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126m2 126126eb2 |
Quadratic twists by: -3 -7 |