Atkin-Lehner |
2+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82880m |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
901120 |
Modular degree for the optimal curve |
Δ |
-221754188690800640 = -1 · 214 · 5 · 711 · 372 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -3 7 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7835,-22657603] |
[a1,a2,a3,a4,a6] |
j |
3246125782016/13534801555835 |
j-invariant |
L |
2.62486406539 |
L(r)(E,1)/r! |
Ω |
0.1458257756954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82880bq1 10360b1 |
Quadratic twists by: -4 8 |