Atkin-Lehner |
2+ 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162n |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
64037603875436928 = 27 · 312 · 113 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-114417,-8554595] |
[a1,a2,a3,a4,a6] |
Generators |
[-271:1715:1] [-85:785:1] |
Generators of the group modulo torsion |
j |
170722960296875/65997804672 |
j-invariant |
L |
6.8673325069907 |
L(r)(E,1)/r! |
Ω |
0.2682382966495 |
Real period |
R |
6.4004027321779 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21054v2 63162bv2 |
Quadratic twists by: -3 -11 |