Atkin-Lehner |
2- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39440k |
Isogeny class |
Conductor |
39440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
54344155136000 = 220 · 53 · 17 · 293 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 0 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17275456,27642854400] |
[a1,a2,a3,a4,a6] |
Generators |
[3661412310969837900:-19252632076985125:1525481943880896] |
Generators of the group modulo torsion |
j |
139204203138389622201409/13267616000 |
j-invariant |
L |
9.3094130068356 |
L(r)(E,1)/r! |
Ω |
0.35336020989238 |
Real period |
R |
26.345391320851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4930g3 |
Quadratic twists by: -4 |