Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960ca |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
185180719431456000 = 28 · 310 · 53 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 0 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-583116,-169938684] |
[a1,a2,a3,a4,a6] |
Generators |
[6333:500094:1] |
Generators of the group modulo torsion |
j |
728049865233616/6148477125 |
j-invariant |
L |
5.7087154659373 |
L(r)(E,1)/r! |
Ω |
0.17285502110333 |
Real period |
R |
4.1282540011851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010474 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bx2 |
Quadratic twists by: -7 |