Atkin-Lehner |
2- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60352n |
Isogeny class |
Conductor |
60352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
329358395767390208 = 217 · 232 · 416 |
Discriminant |
Eigenvalues |
2- 2 2 4 -2 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-182177,11607617] |
[a1,a2,a3,a4,a6] |
Generators |
[279779596210065:2087127382016636:661914925875] |
Generators of the group modulo torsion |
j |
5101487277496274/2512805143489 |
j-invariant |
L |
12.008991955021 |
L(r)(E,1)/r! |
Ω |
0.27035245696304 |
Real period |
R |
22.209881297251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60352b2 15088a2 |
Quadratic twists by: -4 8 |