Atkin-Lehner |
5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21175p |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
559252925 = 52 · 75 · 113 |
Discriminant |
Eigenvalues |
2 0 5+ 7- 11+ 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-39875,-3064779] |
[a1,a2,a3,a4,a6] |
j |
210720960000000/16807 |
j-invariant |
L |
3.3785035744213 |
L(r)(E,1)/r! |
Ω |
0.33785035744213 |
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 |
21175y1 21175e1 |
Quadratic twists by: 5 -11 |