Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880bw |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
8132728665600000 = 212 · 37 · 55 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-443532,113610656] |
[a1,a2,a3,a4,a6] |
Generators |
[-758:3780:1] [82:-8820:1] |
Generators of the group modulo torsion |
j |
3231551729387584/2723634375 |
j-invariant |
L |
12.567464298868 |
L(r)(E,1)/r! |
Ω |
0.41181311124348 |
Real period |
R |
0.19073373268751 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880dp2 36960bg2 |
Quadratic twists by: -4 -3 |