Atkin-Lehner |
2- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20944k |
Isogeny class |
Conductor |
20944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-583844662016 = -1 · 28 · 72 · 115 · 172 |
Discriminant |
Eigenvalues |
2- 3 -3 7- 11+ -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1384,-41764] |
[a1,a2,a3,a4,a6] |
j |
-1145228156928/2280643211 |
j-invariant |
L |
2.9423830378906 |
L(r)(E,1)/r! |
Ω |
0.36779787973632 |
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 |
5236b1 83776bn1 |
Quadratic twists by: -4 8 |