Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960z |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1154742464559513600 = 216 · 32 · 52 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-783096,-261409680] |
[a1,a2,a3,a4,a6] |
Generators |
[43356:9025632:1] |
Generators of the group modulo torsion |
j |
87587538121/1904400 |
j-invariant |
L |
5.1810996160746 |
L(r)(E,1)/r! |
Ω |
0.16070163206184 |
Real period |
R |
8.0601229727789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999048382 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15870j2 5520r2 |
Quadratic twists by: -4 -23 |