Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20570j |
Isogeny class |
Conductor |
20570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-427611758752090000 = -1 · 24 · 54 · 116 · 176 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-299296,-70464624] |
[a1,a2,a3,a4,a6] |
Generators |
[646:2102:1] |
Generators of the group modulo torsion |
j |
-1673672305534489/241375690000 |
j-invariant |
L |
3.8458339272 |
L(r)(E,1)/r! |
Ω |
0.10124854946734 |
Real period |
R |
4.7480111411874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102850u2 170b2 |
Quadratic twists by: 5 -11 |