Atkin-Lehner |
2- 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
56880z |
Isogeny class |
Conductor |
56880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
68640768 |
Modular degree for the optimal curve |
Δ |
-9.8700853463281E+30 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2769807243,-161231179701958] |
[a1,a2,a3,a4,a6] |
Generators |
[158203258386102560806059717244123:1457768851618111670275436010656250:2227187291899069901961239653] |
Generators of the group modulo torsion |
j |
-787018381229524347427258441/3305471612148000000000000 |
j-invariant |
L |
6.2465369794968 |
L(r)(E,1)/r! |
Ω |
0.009473307119474 |
Real period |
R |
41.211432955234 |
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 |
7110r1 18960l1 |
Quadratic twists by: -4 -3 |