Atkin-Lehner |
2+ 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950h |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2229347610000000000 = 210 · 36 · 510 · 72 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-99540000,-382288896000] |
[a1,a2,a3,a4,a6] |
j |
6980661870573827932070401/142678247040000 |
j-invariant |
L |
1.7206901042458 |
L(r)(E,1)/r! |
Ω |
0.047796945715663 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16590y2 |
Quadratic twists by: 5 |