Atkin-Lehner |
2- 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880ba |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1352353216389120 = -1 · 213 · 33 · 5 · 114 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11384,-1710224] |
[a1,a2,a3,a4,a6] |
Generators |
[210:3146:1] [2114:97290:1] |
Generators of the group modulo torsion |
j |
39829997144951/330164359470 |
j-invariant |
L |
7.6657218963518 |
L(r)(E,1)/r! |
Ω |
0.23877810380597 |
Real period |
R |
16.051978330852 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610m4 |
Quadratic twists by: -4 |