Atkin-Lehner |
2- 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592bz |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14192640 |
Modular degree for the optimal curve |
Δ |
-9.9786493955642E+22 |
Discriminant |
Eigenvalues |
2- 3+ 1 -5 11+ 6 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9609665,19041468513] |
[a1,a2,a3,a4,a6] |
Generators |
[-1232371:29052108:343] |
Generators of the group modulo torsion |
j |
-374376499897742059249/380655265638892464 |
j-invariant |
L |
3.8773249295119 |
L(r)(E,1)/r! |
Ω |
0.096846453331131 |
Real period |
R |
3.3363164002244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007441 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592bp1 21648bg1 |
Quadratic twists by: -4 8 |