Atkin-Lehner |
2+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600c |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-27817900000000 = -1 · 28 · 58 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 11+ -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2508,-257488] |
[a1,a2,a3,a4,a6] |
Generators |
[1177356:30613625:1728] |
Generators of the group modulo torsion |
j |
-436334416/6954475 |
j-invariant |
L |
10.443047882661 |
L(r)(E,1)/r! |
Ω |
0.28562830295032 |
Real period |
R |
9.1404176096825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41800x2 16720l2 |
Quadratic twists by: -4 5 |