Atkin-Lehner |
3+ 5- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
20805d |
Isogeny class |
Conductor |
20805 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122112 |
Modular degree for the optimal curve |
Δ |
-135081047401875 = -1 · 34 · 54 · 193 · 733 |
Discriminant |
Eigenvalues |
2 3+ 5- 0 2 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-220340,39887093] |
[a1,a2,a3,a4,a6] |
j |
-1183057133148210221056/135081047401875 |
j-invariant |
L |
4.4849905653894 |
L(r)(E,1)/r! |
Ω |
0.56062382067368 |
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 |
62415d1 104025o1 |
Quadratic twists by: -3 5 |