Atkin-Lehner |
2- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23104bp |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-7455376569486016 = -1 · 26 · 1911 |
Discriminant |
Eigenvalues |
2- 0 -3 5 -5 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5054,-4156554] |
[a1,a2,a3,a4,a6] |
Generators |
[27713:4613429:1] |
Generators of the group modulo torsion |
j |
-4741632/2476099 |
j-invariant |
L |
3.8417598913303 |
L(r)(E,1)/r! |
Ω |
0.18770870278442 |
Real period |
R |
10.233302543629 |
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 |
23104bq1 11552i1 1216n1 |
Quadratic twists by: -4 8 -19 |