Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bb |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-8526181171200 = -1 · 227 · 3 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5260,201040] |
[a1,a2,a3,a4,a6] |
Generators |
[-258:4783:8] |
Generators of the group modulo torsion |
j |
-5322118838905/2818572288 |
j-invariant |
L |
4.1239740297964 |
L(r)(E,1)/r! |
Ω |
0.68315795284552 |
Real period |
R |
6.0366332696384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050is2 127050fj2 |
Quadratic twists by: 5 -11 |