Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800z |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
7859531250000 = 24 · 37 · 510 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7050,-183625] |
[a1,a2,a3,a4,a6] |
j |
212629504/43125 |
j-invariant |
L |
2.1137176626651 |
L(r)(E,1)/r! |
Ω |
0.52842943070946 |
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 |
41400o1 27600j1 16560v1 |
Quadratic twists by: -4 -3 5 |