Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126co |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2255350022529127524 = 22 · 314 · 78 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-354573,37282545] |
[a1,a2,a3,a4,a6] |
j |
57481172513857/26296514244 |
j-invariant |
L |
1.8600825956641 |
L(r)(E,1)/r! |
Ω |
0.23251036829371 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42042da2 18018r2 |
Quadratic twists by: -3 -7 |