Atkin-Lehner |
2- 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13804f |
Isogeny class |
Conductor |
13804 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
888 |
Modular degree for the optimal curve |
Δ |
-55216 = -1 · 24 · 7 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 2 1 7- -3 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,14] |
[a1,a2,a3,a4,a6] |
Generators |
[1:3:1] |
Generators of the group modulo torsion |
j |
-1048576/3451 |
j-invariant |
L |
7.2122861154566 |
L(r)(E,1)/r! |
Ω |
3.1012552265587 |
Real period |
R |
0.77520074814563 |
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 |
55216o1 124236p1 96628h1 |
Quadratic twists by: -4 -3 -7 |