Atkin-Lehner |
2+ 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
43800k |
Isogeny class |
Conductor |
43800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
23652000000 = 28 · 34 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49308,4197888] |
[a1,a2,a3,a4,a6] |
j |
3314550883408/5913 |
j-invariant |
L |
4.1087025186236 |
L(r)(E,1)/r! |
Ω |
1.027175629707 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87600b1 1752g1 |
Quadratic twists by: -4 5 |