Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218d |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
163635434661943296 = 211 · 39 · 136 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49837371,-135406913563] |
[a1,a2,a3,a4,a6] |
Generators |
[55754785252306218829488689:-8156759553588949068632048307:2361373599108465990307] |
Generators of the group modulo torsion |
j |
144091275020705979/1722368 |
j-invariant |
L |
4.5994278387827 |
L(r)(E,1)/r! |
Ω |
0.056821248690668 |
Real period |
R |
40.472780341802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88218bq2 522g2 |
Quadratic twists by: -3 13 |