Atkin-Lehner |
2+ 3- 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23994j |
Isogeny class |
Conductor |
23994 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
497539584 = 29 · 36 · 31 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 -5 -1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1869,-30619] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:16:1] |
Generators of the group modulo torsion |
j |
990728800209/682496 |
j-invariant |
L |
3.1326994111548 |
L(r)(E,1)/r! |
Ω |
0.7261131403341 |
Real period |
R |
2.1571703066229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2666d1 |
Quadratic twists by: -3 |