Atkin-Lehner |
2- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
5474d |
Isogeny class |
Conductor |
5474 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
175168 = 26 · 7 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60,191] |
[a1,a2,a3,a4,a6] |
Generators |
[7:5:1] |
Generators of the group modulo torsion |
j |
23516564625/175168 |
j-invariant |
L |
5.4939510242372 |
L(r)(E,1)/r! |
Ω |
3.2277199981434 |
Real period |
R |
1.1347434158678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43792i1 49266o1 38318w1 93058l1 |
Quadratic twists by: -4 -3 -7 17 |