Atkin-Lehner |
5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
21175be |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-1550115875 = -1 · 53 · 7 · 116 |
Discriminant |
Eigenvalues |
2 -1 5- 7+ 11- 1 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,202,1473] |
[a1,a2,a3,a4,a6] |
Generators |
[106:631:8] |
Generators of the group modulo torsion |
j |
4096/7 |
j-invariant |
L |
7.9117705248534 |
L(r)(E,1)/r! |
Ω |
1.0308190093753 |
Real period |
R |
3.8376138065439 |
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 |
21175bn1 175a1 |
Quadratic twists by: 5 -11 |