Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784b |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
544927428864 = 28 · 32 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2084,-8256] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:144:1] |
Generators of the group modulo torsion |
j |
810448/441 |
j-invariant |
L |
4.0169586279352 |
L(r)(E,1)/r! |
Ω |
0.75387245301391 |
Real period |
R |
2.6642163484259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000099 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28392bc2 336b2 |
Quadratic twists by: -4 13 |