Atkin-Lehner |
2- 3- 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15834q |
Isogeny class |
Conductor |
15834 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-1.2349777175067E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3548266,16711256100] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:127066:1] |
Generators of the group modulo torsion |
j |
4940514904764290195189663/123497771750673547788288 |
j-invariant |
L |
7.4051259475044 |
L(r)(E,1)/r! |
Ω |
0.078453715816146 |
Real period |
R |
3.9328527816632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126672bo1 47502j1 110838bq1 |
Quadratic twists by: -4 -3 -7 |