Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
82524l |
Isogeny class |
Conductor |
82524 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
-3958150440042864 = -1 · 24 · 35 · 13 · 238 |
Discriminant |
Eigenvalues |
2- 3- -1 2 1 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68946,-7620147] |
[a1,a2,a3,a4,a6] |
Generators |
[7053:591951:1] |
Generators of the group modulo torsion |
j |
-28927744/3159 |
j-invariant |
L |
8.3965955571789 |
L(r)(E,1)/r! |
Ω |
0.14641132475523 |
Real period |
R |
3.8232905673642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82524k1 |
Quadratic twists by: -23 |