Atkin-Lehner |
3+ 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
5673a |
Isogeny class |
Conductor |
5673 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-591697985995269 = -1 · 36 · 312 · 615 |
Discriminant |
Eigenvalues |
1 3+ 3 3 -3 -1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,16259,-849362] |
[a1,a2,a3,a4,a6] |
Generators |
[4766:116471:8] |
Generators of the group modulo torsion |
j |
475295244086079143/591697985995269 |
j-invariant |
L |
4.9969419732673 |
L(r)(E,1)/r! |
Ω |
0.27623707905708 |
Real period |
R |
4.5223309541972 |
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 |
90768p1 17019c1 |
Quadratic twists by: -4 -3 |