Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800ex |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
73908671591116800 = 212 · 322 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 5 -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-119595,9073690] |
[a1,a2,a3,a4,a6] |
j |
2534167381585/990074583 |
j-invariant |
L |
1.256071341056 |
L(r)(E,1)/r! |
Ω |
0.314017832862 |
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 |
5175f1 27600ct1 82800fm1 |
Quadratic twists by: -4 -3 5 |