Atkin-Lehner |
2- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109120t |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
185905561600 = 214 · 52 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11+ 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1468,-6192] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:120:1] [-18:120:1] |
Generators of the group modulo torsion |
j |
21354132816/11346775 |
j-invariant |
L |
11.13012996996 |
L(r)(E,1)/r! |
Ω |
0.81929029432512 |
Real period |
R |
3.3962717630012 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120h2 27280q2 |
Quadratic twists by: -4 8 |