Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66470n |
Isogeny class |
Conductor |
66470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-12080370533120 = -1 · 28 · 5 · 177 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 -1 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17346,893636] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-318:1] |
Generators of the group modulo torsion |
j |
-23912763841/500480 |
j-invariant |
L |
9.907361103558 |
L(r)(E,1)/r! |
Ω |
0.71349632799579 |
Real period |
R |
0.86785319651903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910n1 |
Quadratic twists by: 17 |