Atkin-Lehner |
2- 5+ 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82160k |
Isogeny class |
Conductor |
82160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-26291200000 = -1 · 213 · 55 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -1 13- -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-416,-8320] |
[a1,a2,a3,a4,a6] |
Generators |
[184:2472:1] |
Generators of the group modulo torsion |
j |
-1948441249/6418750 |
j-invariant |
L |
7.2572350311143 |
L(r)(E,1)/r! |
Ω |
0.48649744765564 |
Real period |
R |
3.7293284192989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10270d1 |
Quadratic twists by: -4 |