Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
80960ci |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-3.5542005771796E+20 |
Discriminant |
Eigenvalues |
2- -2 5- 1 11- -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85185,-907124417] |
[a1,a2,a3,a4,a6] |
Generators |
[2661:133100:1] |
Generators of the group modulo torsion |
j |
-260782396264369/1355819922325000 |
j-invariant |
L |
4.7727624482174 |
L(r)(E,1)/r! |
Ω |
0.077332211850304 |
Real period |
R |
0.68575167564764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960t1 20240m1 |
Quadratic twists by: -4 8 |