Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785n |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9.3980964486838E+31 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-229064768483,-42194751966326748] |
[a1,a2,a3,a4,a6] |
Generators |
[1474188850640551482608449794519653069624494125453040658104827668773416980510:315287242997029615134229653028088640797268994382281365726641810003240814197763:2570175641671230525525769512836830742541588015747974647508955777608968] |
Generators of the group modulo torsion |
j |
1029235991360334641297227719361/72770650718971467351375 |
j-invariant |
L |
3.0450948499662 |
L(r)(E,1)/r! |
Ω |
0.0069009967490172 |
Real period |
R |
110.31358804798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23595d8 6435f7 |
Quadratic twists by: -3 -11 |