Atkin-Lehner |
2- 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126dz |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
366705101504693952 = 26 · 39 · 76 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 13- -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6611640986,-206922891839975] |
[a1,a2,a3,a4,a6] |
j |
13802951728468271053322091/158357056 |
j-invariant |
L |
0.40182039410433 |
L(r)(E,1)/r! |
Ω |
0.016742574452573 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126bb2 2574q2 |
Quadratic twists by: -3 -7 |