Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800dp |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21565440 |
Modular degree for the optimal curve |
Δ |
-5.7207407073362E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 0 -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,83068125,-217960118750] |
[a1,a2,a3,a4,a6] |
Generators |
[558278926032647683241:73160810424035385509376:47927479251206521] |
Generators of the group modulo torsion |
j |
2173899265153175/1961845235712 |
j-invariant |
L |
8.4304476323594 |
L(r)(E,1)/r! |
Ω |
0.034395192343764 |
Real period |
R |
30.638175926235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10350u1 27600dc1 82800fx1 |
Quadratic twists by: -4 -3 5 |