Atkin-Lehner |
5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21175bj |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
18000 |
Modular degree for the optimal curve |
Δ |
1271029375 = 54 · 75 · 112 |
Discriminant |
Eigenvalues |
1 3 5- 7- 11- 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-292,941] |
[a1,a2,a3,a4,a6] |
j |
36479025/16807 |
j-invariant |
L |
6.8518237558585 |
L(r)(E,1)/r! |
Ω |
1.3703647511717 |
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 |
21175j1 21175bd1 |
Quadratic twists by: 5 -11 |