Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ih |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2951578112000000 = 215 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40833,1817537] |
[a1,a2,a3,a4,a6] |
Generators |
[497:10200:1] |
Generators of the group modulo torsion |
j |
125000/49 |
j-invariant |
L |
10.36184977065 |
L(r)(E,1)/r! |
Ω |
0.41056550979517 |
Real period |
R |
3.1547492180198 |
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 |
78400iu2 39200cf2 3136ba2 11200cr2 |
Quadratic twists by: -4 8 5 -7 |