Atkin-Lehner |
3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5661d |
Isogeny class |
Conductor |
5661 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-4126869 = -1 · 38 · 17 · 37 |
Discriminant |
Eigenvalues |
1 3- 3 -1 3 -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-153,-698] |
[a1,a2,a3,a4,a6] |
j |
-545338513/5661 |
j-invariant |
L |
2.7124077788767 |
L(r)(E,1)/r! |
Ω |
0.67810194471919 |
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 |
90576bh1 1887a1 96237m1 |
Quadratic twists by: -4 -3 17 |