Atkin-Lehner |
2- 5+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
85550r |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
877364398475000000 = 26 · 58 · 296 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 4 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-566980,158164647] |
[a1,a2,a3,a4,a6] |
Generators |
[1009:24245:1] |
Generators of the group modulo torsion |
j |
1290048941609145801/56151321502400 |
j-invariant |
L |
11.963525331712 |
L(r)(E,1)/r! |
Ω |
0.27789293820327 |
Real period |
R |
3.5875702714482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005676 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17110b2 |
Quadratic twists by: 5 |