Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050iy |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
-8.066753409792E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1355263,-1495466983] |
[a1,a2,a3,a4,a6] |
Generators |
[1702:32749:1] |
Generators of the group modulo torsion |
j |
-3287705905/9633792 |
j-invariant |
L |
12.397172146239 |
L(r)(E,1)/r! |
Ω |
0.064736204966637 |
Real period |
R |
1.9948220481324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050bk1 127050er1 |
Quadratic twists by: 5 -11 |