Atkin-Lehner |
3- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50127n |
Isogeny class |
Conductor |
50127 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1483776 |
Modular degree for the optimal curve |
Δ |
-61540505505171 = -1 · 33 · 73 · 118 · 31 |
Discriminant |
Eigenvalues |
2 3- 1 7- 11+ -1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-13070150,18182975003] |
[a1,a2,a3,a4,a6] |
Generators |
[-33094:307457:8] |
Generators of the group modulo torsion |
j |
-719898619458974392963072/179418383397 |
j-invariant |
L |
15.9402455737 |
L(r)(E,1)/r! |
Ω |
0.36673562594118 |
Real period |
R |
3.6221018735184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50127g1 |
Quadratic twists by: -7 |