Atkin-Lehner |
3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21675q |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
6218015625 = 34 · 56 · 173 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-576,3673] |
[a1,a2,a3,a4,a6] |
j |
274625/81 |
j-invariant |
L |
4.9818121451765 |
L(r)(E,1)/r! |
Ω |
1.2454530362941 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65025bp1 867b1 21675d1 |
Quadratic twists by: -3 5 17 |