Atkin-Lehner |
2- 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11220c |
Isogeny class |
Conductor |
11220 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
-718080 = -1 · 28 · 3 · 5 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11+ 3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-516,-4344] |
[a1,a2,a3,a4,a6] |
j |
-59466754384/2805 |
j-invariant |
L |
1.5023013028834 |
L(r)(E,1)/r! |
Ω |
0.50076710096114 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44880cm1 33660p1 56100u1 123420n1 |
Quadratic twists by: -4 -3 5 -11 |