Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ik |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
190 |
Product of Tamagawa factors cp |
deg |
3192000 |
Modular degree for the optimal curve |
Δ |
-39497567580979200 = -1 · 219 · 35 · 52 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 7 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-761758,256017092] |
[a1,a2,a3,a4,a6] |
Generators |
[428:2690:1] |
Generators of the group modulo torsion |
j |
-1103770289367265/891813888 |
j-invariant |
L |
14.796757212573 |
L(r)(E,1)/r! |
Ω |
0.36081256841765 |
Real period |
R |
0.21583968033126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014522 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050bz1 1050f1 |
Quadratic twists by: 5 -11 |