Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050go |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
-2025691425450000000 = -1 · 27 · 33 · 58 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-372138,-111168969] |
[a1,a2,a3,a4,a6] |
j |
-8236063705/2927232 |
j-invariant |
L |
3.9880254001426 |
L(r)(E,1)/r! |
Ω |
0.094952974772859 |
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 |
127050do1 11550q1 |
Quadratic twists by: 5 -11 |