Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24480v |
Isogeny class |
Conductor |
24480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-334611000000 = -1 · 26 · 39 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-513,-28188] |
[a1,a2,a3,a4,a6] |
j |
-11852352/265625 |
j-invariant |
L |
0.83176011667235 |
L(r)(E,1)/r! |
Ω |
0.4158800583362 |
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 |
24480a1 48960t2 24480f1 122400i1 |
Quadratic twists by: -4 8 -3 5 |