Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600cx |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-174150000000000000 = -1 · 213 · 34 · 514 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,136592,5103188] |
[a1,a2,a3,a4,a6] |
Generators |
[698:21000:1] |
Generators of the group modulo torsion |
j |
4403686064471/2721093750 |
j-invariant |
L |
9.0070923120016 |
L(r)(E,1)/r! |
Ω |
0.19847785813978 |
Real period |
R |
2.8363026222508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450bd4 10320s4 |
Quadratic twists by: -4 5 |