Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160jj |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
13178880 |
Modular degree for the optimal curve |
Δ |
-7.6895391202327E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- 2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39861675,-97795983177] |
[a1,a2,a3,a4,a6] |
Generators |
[8766:475875:1] |
Generators of the group modulo torsion |
j |
-510585996566086144/5605041796875 |
j-invariant |
L |
11.480656242485 |
L(r)(E,1)/r! |
Ω |
0.030022481577421 |
Real period |
R |
3.1866831287291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999820943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160ha1 58080e1 116160jk1 |
Quadratic twists by: -4 8 -11 |