Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960ek |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
63452160 = 210 · 36 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1008,12312] |
[a1,a2,a3,a4,a6] |
Generators |
[9:63:1] |
Generators of the group modulo torsion |
j |
151732224/85 |
j-invariant |
L |
6.9450058941262 |
L(r)(E,1)/r! |
Ω |
1.9411877392931 |
Real period |
R |
1.7888547700859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960bs1 12240cb1 5440w1 |
Quadratic twists by: -4 8 -3 |