Atkin-Lehner |
2- 3- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
20862t |
Isogeny class |
Conductor |
20862 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-200839995090144 = -1 · 25 · 37 · 196 · 61 |
Discriminant |
Eigenvalues |
2- 3- -1 4 -2 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11543,-829425] |
[a1,a2,a3,a4,a6] |
j |
-233301213501481/275500679136 |
j-invariant |
L |
4.4060159464144 |
L(r)(E,1)/r! |
Ω |
0.22030079732072 |
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 |
6954a1 |
Quadratic twists by: -3 |