Atkin-Lehner |
2+ 3- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48144c |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9271378944 = 210 · 32 · 172 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1024,11396] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:144:1] |
Generators of the group modulo torsion |
j |
116077400068/9054081 |
j-invariant |
L |
5.2231406299279 |
L(r)(E,1)/r! |
Ω |
1.2684388947092 |
Real period |
R |
2.058885395142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24072c2 |
Quadratic twists by: -4 |