Atkin-Lehner |
2- 3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
7446h |
Isogeny class |
Conductor |
7446 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-3216672 = -1 · 25 · 34 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -3 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8,89] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:9:1] |
Generators of the group modulo torsion |
j |
56181887/3216672 |
j-invariant |
L |
5.527527515956 |
L(r)(E,1)/r! |
Ω |
1.9173704942184 |
Real period |
R |
0.28828687687766 |
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 |
59568bc1 22338e1 126582bc1 |
Quadratic twists by: -4 -3 17 |