Atkin-Lehner |
2+ 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65598k |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
170670069202730292 = 22 · 38 · 13 · 298 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-196154017,-1057427583664] |
[a1,a2,a3,a4,a6] |
Generators |
[3978705:622344596:125] |
Generators of the group modulo torsion |
j |
1403225087856519288817/286925652 |
j-invariant |
L |
5.4321291027534 |
L(r)(E,1)/r! |
Ω |
0.040341333820283 |
Real period |
R |
8.4158860603265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2262k5 |
Quadratic twists by: 29 |