Atkin-Lehner |
2- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82880bg |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
231221760 |
Modular degree for the optimal curve |
Δ |
-1.4102247862316E+31 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 6 3 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15512140481,-765257285378719] |
[a1,a2,a3,a4,a6] |
Generators |
[9584515400004891:5500390875987859712:25490055807] |
Generators of the group modulo torsion |
j |
-1574704170311588536689715160881/53795806359541618750000000 |
j-invariant |
L |
10.954119335773 |
L(r)(E,1)/r! |
Ω |
0.006750408886163 |
Real period |
R |
23.863738174757 |
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 |
82880e1 20720t1 |
Quadratic twists by: -4 8 |