Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fn |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
20908800 |
Modular degree for the optimal curve |
Δ |
-4.8329314335918E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,16144362,-22249631469] |
[a1,a2,a3,a4,a6] |
Generators |
[1067145:106841523:125] |
Generators of the group modulo torsion |
j |
26898633480575/27935373312 |
j-invariant |
L |
10.003143916627 |
L(r)(E,1)/r! |
Ω |
0.050604844958392 |
Real period |
R |
8.9850756901699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999473533 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050eo1 11550j1 |
Quadratic twists by: 5 -11 |