Atkin-Lehner |
2+ 5+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69290a |
Isogeny class |
Conductor |
69290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.1939893472016E+19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,688390,49413300] |
[a1,a2,a3,a4,a6] |
Generators |
[11460:1224270:1] |
Generators of the group modulo torsion |
j |
7474237640983359/4545424000000 |
j-invariant |
L |
3.5681727432096 |
L(r)(E,1)/r! |
Ω |
0.13205506440436 |
Real period |
R |
3.377542503413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5330g2 |
Quadratic twists by: 13 |