Atkin-Lehner |
3+ 11- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
80883d |
Isogeny class |
Conductor |
80883 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
180480 |
Modular degree for the optimal curve |
Δ |
-164530620491787 = -1 · 33 · 113 · 195 · 432 |
Discriminant |
Eigenvalues |
0 3+ 2 -2 11- -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6054,643218] |
[a1,a2,a3,a4,a6] |
Generators |
[-782:4385:8] [116:1225:1] |
Generators of the group modulo torsion |
j |
-908839507820544/6093726684881 |
j-invariant |
L |
9.6334829401698 |
L(r)(E,1)/r! |
Ω |
0.49410010003749 |
Real period |
R |
0.3249504482827 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80883a1 |
Quadratic twists by: -3 |