Atkin-Lehner |
2+ 3- 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270bc |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-6.5230148174644E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1586684711,-120448116552388] |
[a1,a2,a3,a4,a6] |
j |
441769392992835713522617788440951/6523014817464364370434719744000 |
j-invariant |
L |
1.8819904018906 |
L(r)(E,1)/r! |
Ω |
0.011617224703289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117810eo2 |
Quadratic twists by: -3 |