Atkin-Lehner |
2+ 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126ce |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
106686720 |
Modular degree for the optimal curve |
Δ |
-2.248030282374E+27 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2546510850,49514613663892] |
[a1,a2,a3,a4,a6] |
j |
-21293376668673906679951249/26211168887701209984 |
j-invariant |
L |
0.27616433375716 |
L(r)(E,1)/r! |
Ω |
0.046027337633921 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042cn1 2574d1 |
Quadratic twists by: -3 -7 |