Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960cc |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1713208320 = -1 · 210 · 39 · 5 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228,-2392] |
[a1,a2,a3,a4,a6] |
Generators |
[61:459:1] |
Generators of the group modulo torsion |
j |
-1755904/2295 |
j-invariant |
L |
5.4796267138779 |
L(r)(E,1)/r! |
Ω |
0.58579297314192 |
Real period |
R |
2.3385508896235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960es1 3060n1 16320n1 |
Quadratic twists by: -4 8 -3 |