Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bi |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3.0800331201024E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28173400,56923720000] |
[a1,a2,a3,a4,a6] |
Generators |
[240:223880:1] |
Generators of the group modulo torsion |
j |
89343998142858649/1112702976000 |
j-invariant |
L |
3.4396714161249 |
L(r)(E,1)/r! |
Ω |
0.11777539308237 |
Real period |
R |
1.2168894771082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000407084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410cm3 11550bo3 |
Quadratic twists by: 5 -11 |