Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41400bg |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-1828224000 = -1 · 210 · 33 · 53 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 6 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-915,-10850] |
[a1,a2,a3,a4,a6] |
j |
-24513948/529 |
j-invariant |
L |
1.7338818126773 |
L(r)(E,1)/r! |
Ω |
0.43347045317289 |
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 |
82800j1 41400f1 41400e1 |
Quadratic twists by: -4 -3 5 |