Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
17400bf |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-1761750000 = -1 · 24 · 35 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 -5 -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,292,537] |
[a1,a2,a3,a4,a6] |
Generators |
[12:75:1] |
Generators of the group modulo torsion |
j |
10976000/7047 |
j-invariant |
L |
4.707558305056 |
L(r)(E,1)/r! |
Ω |
0.92855453364912 |
Real period |
R |
1.2674426041936 |
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 |
34800bk1 52200n1 696c1 |
Quadratic twists by: -4 -3 5 |