Atkin-Lehner |
2+ 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104720i |
Isogeny class |
Conductor |
104720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
16586496080 = 24 · 5 · 72 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23642,-1399169] |
[a1,a2,a3,a4,a6] |
Generators |
[4686445:119081424:6859] |
Generators of the group modulo torsion |
j |
91339024379590656/1036656005 |
j-invariant |
L |
7.0589207746474 |
L(r)(E,1)/r! |
Ω |
0.38501601723271 |
Real period |
R |
9.1670481771332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023753 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52360e1 |
Quadratic twists by: -4 |