Atkin-Lehner |
3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47685a |
Isogeny class |
Conductor |
47685 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
224531320662507375 = 34 · 53 · 11 · 1710 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2134993,-1201396478] |
[a1,a2,a3,a4,a6] |
Generators |
[-15221474018752:15900948189119:18067226624] |
Generators of the group modulo torsion |
j |
44588192560543801/9302151375 |
j-invariant |
L |
5.0016494004674 |
L(r)(E,1)/r! |
Ω |
0.12489810561731 |
Real period |
R |
20.022919386006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2805e3 |
Quadratic twists by: 17 |