Atkin-Lehner |
3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
24909l |
Isogeny class |
Conductor |
24909 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2376 |
Modular degree for the optimal curve |
Δ |
-224181 = -1 · 33 · 192 · 23 |
Discriminant |
Eigenvalues |
1 3- 1 3 -4 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8,-25] |
[a1,a2,a3,a4,a6] |
j |
-130321/621 |
j-invariant |
L |
3.9132486576339 |
L(r)(E,1)/r! |
Ω |
1.3044162192113 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74727n1 24909c1 |
Quadratic twists by: -3 -19 |