Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775bf |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5483368628525390625 = 38 · 510 · 112 · 294 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3253505,-2255162128] |
[a1,a2,a3,a4,a6] |
Generators |
[-82751952:-91967840:79507] |
Generators of the group modulo torsion |
j |
334372435208533441/481393130625 |
j-invariant |
L |
3.9240206230947 |
L(r)(E,1)/r! |
Ω |
0.11242146611229 |
Real period |
R |
8.7261373639574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981687 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23925s2 14355d2 |
Quadratic twists by: -3 5 |