Atkin-Lehner |
2+ 3+ 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270n |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2795520 |
Modular degree for the optimal curve |
Δ |
-6.9041486990609E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6599222,-6649187244] |
[a1,a2,a3,a4,a6] |
j |
-31783522700273801593467241/690414869906089574400 |
j-invariant |
L |
1.6933255339887 |
L(r)(E,1)/r! |
Ω |
0.047036820387625 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810dj1 |
Quadratic twists by: -3 |