Atkin-Lehner |
2+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69290l |
Isogeny class |
Conductor |
69290 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-4.725938477156E+28 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-471436658,-11176773541932] |
[a1,a2,a3,a4,a6] |
j |
-2400676521756867779843809/9791020272722640250000 |
j-invariant |
L |
0.35446201403127 |
L(r)(E,1)/r! |
Ω |
0.014769250750406 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5330e4 |
Quadratic twists by: 13 |