Atkin-Lehner |
2+ 3+ 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650q |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3153920 |
Modular degree for the optimal curve |
Δ |
1.9296268416E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -1 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1080575,376717125] |
[a1,a2,a3,a4,a6] |
Generators |
[-1106:15401:1] |
Generators of the group modulo torsion |
j |
71442895508639621/9879689428992 |
j-invariant |
L |
3.9053661126221 |
L(r)(E,1)/r! |
Ω |
0.20864729923276 |
Real period |
R |
4.6793873613318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999298375 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650dq1 |
Quadratic twists by: 5 |