Atkin-Lehner |
2+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16720l |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1780345600 = -1 · 28 · 52 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 11+ 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100,-2100] |
[a1,a2,a3,a4,a6] |
j |
-436334416/6954475 |
j-invariant |
L |
1.2773686033896 |
L(r)(E,1)/r! |
Ω |
0.63868430169481 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360i2 66880cq2 83600c2 |
Quadratic twists by: -4 8 5 |