Atkin-Lehner |
3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5661g |
Isogeny class |
Conductor |
5661 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-132385830651 = -1 · 39 · 173 · 372 |
Discriminant |
Eigenvalues |
0 3- -3 2 -3 5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,456,-17100] |
[a1,a2,a3,a4,a6] |
Generators |
[62:499:1] |
Generators of the group modulo torsion |
j |
14384365568/181599219 |
j-invariant |
L |
2.6599102987658 |
L(r)(E,1)/r! |
Ω |
0.51009195886786 |
Real period |
R |
0.65182126784292 |
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 |
90576bn1 1887c1 96237g1 |
Quadratic twists by: -4 -3 17 |