Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14450j |
Isogeny class |
Conductor |
14450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-102584668250000000 = -1 · 27 · 59 · 177 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 6 3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-130200,23704000] |
[a1,a2,a3,a4,a6] |
j |
-5177717/2176 |
j-invariant |
L |
1.2584131326923 |
L(r)(E,1)/r! |
Ω |
0.31460328317307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115600cn1 14450bf1 850c1 |
Quadratic twists by: -4 5 17 |