Atkin-Lehner |
2+ 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104720i |
Isogeny class |
Conductor |
104720 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
11728833522560000 = 210 · 54 · 78 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87827,8556546] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:3990:1] |
Generators of the group modulo torsion |
j |
73165762088454564/11453938986875 |
j-invariant |
L |
7.0589207746474 |
L(r)(E,1)/r! |
Ω |
0.38501601723271 |
Real period |
R |
2.2917620442833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023753 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52360e4 |
Quadratic twists by: -4 |