Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82280i |
Isogeny class |
Conductor |
82280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-204792451600000000 = -1 · 210 · 58 · 116 · 172 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 11- -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-425960,109339100] |
[a1,a2,a3,a4,a6] |
Generators |
[370:1500:1] |
Generators of the group modulo torsion |
j |
-4711672753924/112890625 |
j-invariant |
L |
8.5983616174978 |
L(r)(E,1)/r! |
Ω |
0.31650809998977 |
Real period |
R |
1.6978952538323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
680c2 |
Quadratic twists by: -11 |