Atkin-Lehner |
3+ 5- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
21165c |
Isogeny class |
Conductor |
21165 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9440 |
Modular degree for the optimal curve |
Δ |
416590695 = 310 · 5 · 17 · 83 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 -3 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-187,34] |
[a1,a2,a3,a4,a6] |
j |
729243027001/416590695 |
j-invariant |
L |
2.8793921307458 |
L(r)(E,1)/r! |
Ω |
1.4396960653729 |
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 |
63495j1 105825f1 |
Quadratic twists by: -3 5 |