Atkin-Lehner |
2+ 3+ 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270c |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6.0223351327876E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-982828,34815088] |
[a1,a2,a3,a4,a6] |
Generators |
[687:84287:27] |
Generators of the group modulo torsion |
j |
104992182751869695281609/60223351327875600480 |
j-invariant |
L |
3.0705316897997 |
L(r)(E,1)/r! |
Ω |
0.16872566679251 |
Real period |
R |
9.0991837465279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810dw2 |
Quadratic twists by: -3 |