Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960cm |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
30457036800 = 215 · 37 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-489612,-131863984] |
[a1,a2,a3,a4,a6] |
Generators |
[892:11880:1] |
Generators of the group modulo torsion |
j |
543378448339208/1275 |
j-invariant |
L |
6.5992533542733 |
L(r)(E,1)/r! |
Ω |
0.18048309979491 |
Real period |
R |
4.5705479915734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000174 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960cn4 24480bb4 16320f3 |
Quadratic twists by: -4 8 -3 |