Atkin-Lehner |
5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
21175bd |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
198000 |
Modular degree for the optimal curve |
Δ |
2251706070604375 = 54 · 75 · 118 |
Discriminant |
Eigenvalues |
-1 3 5- 7+ 11- -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35355,-1146428] |
[a1,a2,a3,a4,a6] |
Generators |
[-102979290:534875909:658503] |
Generators of the group modulo torsion |
j |
36479025/16807 |
j-invariant |
L |
5.2122768366002 |
L(r)(E,1)/r! |
Ω |
0.36383480747446 |
Real period |
R |
14.325943338904 |
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 |
21175t1 21175bj1 |
Quadratic twists by: 5 -11 |