Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bx |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
151314647944614000 = 24 · 3 · 53 · 76 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-202435,29559325] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:6905:1] |
Generators of the group modulo torsion |
j |
4143026834981/683305392 |
j-invariant |
L |
4.5629611779671 |
L(r)(E,1)/r! |
Ω |
0.3104977296621 |
Real period |
R |
1.8369542586666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000358307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127050jk2 11550cc2 |
Quadratic twists by: 5 -11 |