Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82524h |
Isogeny class |
Conductor |
82524 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-204989616 = -1 · 24 · 34 · 13 · 233 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31,696] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:21:1] [1:27:1] |
Generators of the group modulo torsion |
j |
16384/1053 |
j-invariant |
L |
11.427607833864 |
L(r)(E,1)/r! |
Ω |
1.3585039501909 |
Real period |
R |
1.4019843706772 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998587 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82524g1 |
Quadratic twists by: -23 |