Atkin-Lehner |
2+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69290k |
Isogeny class |
Conductor |
69290 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-81138659290000 = -1 · 24 · 54 · 136 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10812,24338] |
[a1,a2,a3,a4,a6] |
Generators |
[14:415:1] [49:-845:1] |
Generators of the group modulo torsion |
j |
28962726911/16810000 |
j-invariant |
L |
6.2730401140806 |
L(r)(E,1)/r! |
Ω |
0.36616477333428 |
Real period |
R |
1.0707338217191 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999719 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
410d2 |
Quadratic twists by: 13 |