Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518cb |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8.6843831381965E+25 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-112133264,-88594414477] |
[a1,a2,a3,a4,a6] |
Generators |
[-4619:577449:1] |
Generators of the group modulo torsion |
j |
120737856347074599697/67244278190817024 |
j-invariant |
L |
12.893622718269 |
L(r)(E,1)/r! |
Ω |
0.049775398057341 |
Real period |
R |
8.0948766988748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000852 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22506r2 6138f2 |
Quadratic twists by: -3 -11 |