Atkin-Lehner |
2+ 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880w |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
89760000 = 28 · 3 · 54 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-220,1100] |
[a1,a2,a3,a4,a6] |
j |
4620876496/350625 |
j-invariant |
L |
3.7362157883847 |
L(r)(E,1)/r! |
Ω |
1.868107894262 |
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 |
22440e1 |
Quadratic twists by: -4 |