Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fg |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
255769119375000 = 23 · 3 · 57 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-149072063,700493320781] |
[a1,a2,a3,a4,a6] |
Generators |
[7049:-3488:1] |
Generators of the group modulo torsion |
j |
13235378341603461121/9240 |
j-invariant |
L |
8.0671744197751 |
L(r)(E,1)/r! |
Ω |
0.23997873032811 |
Real period |
R |
2.8013504762544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.00000002669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410bk4 11550f3 |
Quadratic twists by: 5 -11 |