Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48450bx |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-901402560000000 = -1 · 212 · 33 · 57 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,10187,-1388383] |
[a1,a2,a3,a4,a6] |
Generators |
[182:-2641:1] |
Generators of the group modulo torsion |
j |
7482383093879/57689763840 |
j-invariant |
L |
11.832353602495 |
L(r)(E,1)/r! |
Ω |
0.2474640295862 |
Real period |
R |
0.6640894224273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690g1 |
Quadratic twists by: 5 |