Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050in |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-729378168750000 = -1 · 24 · 39 · 58 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20138,-1704108] |
[a1,a2,a3,a4,a6] |
Generators |
[202:1474:1] |
Generators of the group modulo torsion |
j |
-19108590985/15431472 |
j-invariant |
L |
13.896062556994 |
L(r)(E,1)/r! |
Ω |
0.19370624908921 |
Real period |
R |
0.33211950326634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999567807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050t1 127050ei1 |
Quadratic twists by: 5 -11 |