Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ih |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-52706752000000 = -1 · 212 · 56 · 77 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8167,200537] |
[a1,a2,a3,a4,a6] |
Generators |
[2847:40256:27] |
Generators of the group modulo torsion |
j |
8000/7 |
j-invariant |
L |
10.36184977065 |
L(r)(E,1)/r! |
Ω |
0.41056550979517 |
Real period |
R |
6.3094984360396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002772 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400iu1 39200cf1 3136ba1 11200cr1 |
Quadratic twists by: -4 8 5 -7 |