Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fg |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
2363306663025000000 = 26 · 32 · 58 · 72 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9317063,10942150781] |
[a1,a2,a3,a4,a6] |
Generators |
[105:99772:1] |
Generators of the group modulo torsion |
j |
3231355012744321/85377600 |
j-invariant |
L |
8.0671744197751 |
L(r)(E,1)/r! |
Ω |
0.23997873032811 |
Real period |
R |
1.4006752381272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066725 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25410bk2 11550f2 |
Quadratic twists by: 5 -11 |