Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120bl |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3176259652200960 = 29 · 32 · 5 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90640,-10117160] |
[a1,a2,a3,a4,a6] |
Generators |
[-259016685:-900788504:1520875] |
Generators of the group modulo torsion |
j |
33324076232/1285245 |
j-invariant |
L |
8.0493763658145 |
L(r)(E,1)/r! |
Ω |
0.27580342308141 |
Real period |
R |
14.592596919026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81120cc3 6240b2 |
Quadratic twists by: -4 13 |