Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fr |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3446488883578125000 = -1 · 23 · 3 · 59 · 73 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-456838,-148860469] |
[a1,a2,a3,a4,a6] |
Generators |
[911860:108266913:64] |
Generators of the group modulo torsion |
j |
-3148102969/1029000 |
j-invariant |
L |
10.348811402772 |
L(r)(E,1)/r! |
Ω |
0.090317213674355 |
Real period |
R |
9.5485778789037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410be2 127050bj2 |
Quadratic twists by: 5 -11 |