Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856bc |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
656920157616078848 = 223 · 238 |
Discriminant |
Eigenvalues |
2- 0 4 -4 -2 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5761868,-5323305840] |
[a1,a2,a3,a4,a6] |
Generators |
[12298587935980829794080:-687133894952236915901796:2662817432918116375] |
Generators of the group modulo torsion |
j |
545138290809/16928 |
j-invariant |
L |
6.1561498091446 |
L(r)(E,1)/r! |
Ω |
0.09744499500442 |
Real period |
R |
31.587819409634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33856d2 8464m2 1472i2 |
Quadratic twists by: -4 8 -23 |