Atkin-Lehner |
2+ 5+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
82160a |
Isogeny class |
Conductor |
82160 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
97280 |
Modular degree for the optimal curve |
Δ |
-4693143520000 = -1 · 28 · 54 · 135 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 0 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1628,-107252] |
[a1,a2,a3,a4,a6] |
Generators |
[642:4225:8] |
Generators of the group modulo torsion |
j |
-1864004465664/18332591875 |
j-invariant |
L |
4.7099716231699 |
L(r)(E,1)/r! |
Ω |
0.32733661591772 |
Real period |
R |
1.4388771035985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41080a1 |
Quadratic twists by: -4 |