Atkin-Lehner |
3+ 7+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
21777b |
Isogeny class |
Conductor |
21777 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-163262169 = -1 · 33 · 73 · 172 · 61 |
Discriminant |
Eigenvalues |
-1 3+ -1 7+ 0 0 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-921,-11160] |
[a1,a2,a3,a4,a6] |
Generators |
[39:99:1] |
Generators of the group modulo torsion |
j |
-86403647021329/163262169 |
j-invariant |
L |
2.2750459326418 |
L(r)(E,1)/r! |
Ω |
0.4332644117033 |
Real period |
R |
2.6254705800759 |
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 |
65331l1 |
Quadratic twists by: -3 |