Atkin-Lehner |
2+ 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104720i |
Isogeny class |
Conductor |
104720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
155293468422400 = 28 · 52 · 74 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24247,-1323786] |
[a1,a2,a3,a4,a6] |
Generators |
[2705:140448:1] |
Generators of the group modulo torsion |
j |
6158256645840336/606615111025 |
j-invariant |
L |
7.0589207746474 |
L(r)(E,1)/r! |
Ω |
0.38501601723271 |
Real period |
R |
4.5835240885666 |
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 |
52360e2 |
Quadratic twists by: -4 |