Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ft |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-29142220800 = -1 · 216 · 3 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-448,8801] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:117:1] |
Generators of the group modulo torsion |
j |
-3287705905/9633792 |
j-invariant |
L |
7.8954116566705 |
L(r)(E,1)/r! |
Ω |
1.0378289883868 |
Real period |
R |
0.23773821606744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000080606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050er1 127050bk1 |
Quadratic twists by: 5 -11 |