Atkin-Lehner |
3- 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21285i |
Isogeny class |
Conductor |
21285 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-38403993375 = -1 · 310 · 53 · 112 · 43 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,711,-6152] |
[a1,a2,a3,a4,a6] |
j |
54483042671/52680375 |
j-invariant |
L |
3.7711933602987 |
L(r)(E,1)/r! |
Ω |
0.62853222671645 |
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 |
7095a1 106425r1 |
Quadratic twists by: -3 5 |