Atkin-Lehner |
3- 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
21285j |
Isogeny class |
Conductor |
21285 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-9544755458390625 = -1 · 36 · 56 · 117 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 11- 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18482,-4794294] |
[a1,a2,a3,a4,a6] |
Generators |
[276:3189:1] |
Generators of the group modulo torsion |
j |
-957681397954009/13092943015625 |
j-invariant |
L |
3.9044280443538 |
L(r)(E,1)/r! |
Ω |
0.17496548448027 |
Real period |
R |
0.53131949287459 |
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 |
2365a1 106425n1 |
Quadratic twists by: -3 5 |