Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850er |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-258423425822053800 = -1 · 23 · 37 · 52 · 79 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 5 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,95647,-21606649] |
[a1,a2,a3,a4,a6] |
j |
95921313665/256158936 |
j-invariant |
L |
3.8400537564054 |
L(r)(E,1)/r! |
Ω |
0.1600022435291 |
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 |
80850di1 80850gv1 |
Quadratic twists by: 5 -7 |