Atkin-Lehner |
3+ 7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
82173a |
Isogeny class |
Conductor |
82173 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-42072658173 = -1 · 36 · 74 · 13 · 432 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ 1 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-760,12433] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1105:1] |
Generators of the group modulo torsion |
j |
-20261187625/17522973 |
j-invariant |
L |
5.3368180223944 |
L(r)(E,1)/r! |
Ω |
1.046348353102 |
Real period |
R |
1.2751054669731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001498 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82173g1 |
Quadratic twists by: -7 |