Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43320l |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
214529217360 = 24 · 3 · 5 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34415,2468772] |
[a1,a2,a3,a4,a6] |
Generators |
[24483308:762934676:24389] |
Generators of the group modulo torsion |
j |
5988775936/285 |
j-invariant |
L |
6.4005590814265 |
L(r)(E,1)/r! |
Ω |
0.94060370557311 |
Real period |
R |
13.609470265749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86640bi1 129960cn1 2280j1 |
Quadratic twists by: -4 -3 -19 |