Atkin-Lehner |
2+ 3+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582c |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-150937296729115392 = -1 · 28 · 39 · 177 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 -2 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,112271,-11774507] |
[a1,a2,a3,a4,a6] |
Generators |
[17394:2285839:1] |
Generators of the group modulo torsion |
j |
6483759726023/6253210368 |
j-invariant |
L |
5.9502999074987 |
L(r)(E,1)/r! |
Ω |
0.1773719871966 |
Real period |
R |
8.386752403643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000248153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7446g1 |
Quadratic twists by: 17 |