Atkin-Lehner |
2- 3- 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19734y |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-24154900153956 = -1 · 22 · 38 · 11 · 13 · 235 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11- 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7632,-349596] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1170:1] |
Generators of the group modulo torsion |
j |
-49163450253034753/24154900153956 |
j-invariant |
L |
7.4674312366006 |
L(r)(E,1)/r! |
Ω |
0.24955994793835 |
Real period |
R |
0.37402993240152 |
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 |
59202i1 |
Quadratic twists by: -3 |