Atkin-Lehner |
2- 3+ 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582ba |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
851904 |
Modular degree for the optimal curve |
Δ |
742457767475394 = 2 · 36 · 178 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45957,3539097] |
[a1,a2,a3,a4,a6] |
Generators |
[1190:589:8] |
Generators of the group modulo torsion |
j |
1538820433/106434 |
j-invariant |
L |
4.6623729677096 |
L(r)(E,1)/r! |
Ω |
0.49646513026458 |
Real period |
R |
4.6955694353696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999676458 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126582bd1 |
Quadratic twists by: 17 |