Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360cs |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4962322084244889600 = 213 · 310 · 52 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-721440,-209858688] |
[a1,a2,a3,a4,a6] |
Generators |
[30024:5200200:1] |
Generators of the group modulo torsion |
j |
420021471169/50191650 |
j-invariant |
L |
6.8874463373068 |
L(r)(E,1)/r! |
Ω |
0.16509345361721 |
Real period |
R |
5.2148087841948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8670ba2 4080z2 |
Quadratic twists by: -4 17 |