Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050id |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-15468916339800 = -1 · 23 · 34 · 52 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -3 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,542,189212] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:380:1] |
Generators of the group modulo torsion |
j |
397535/349272 |
j-invariant |
L |
13.269327157991 |
L(r)(E,1)/r! |
Ω |
0.54581772653287 |
Real period |
R |
0.25323867590307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999670188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050bw1 11550w1 |
Quadratic twists by: 5 -11 |