Atkin-Lehner |
17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
59177c |
Isogeny class |
Conductor |
59177 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1336320 |
Modular degree for the optimal curve |
Δ |
-2503605791591277371 = -1 · 172 · 599 |
Discriminant |
Eigenvalues |
1 3 1 1 0 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,220391,64825412] |
[a1,a2,a3,a4,a6] |
Generators |
[5206049376:461116879558:658503] |
Generators of the group modulo torsion |
j |
28066748319/59354531 |
j-invariant |
L |
15.410160568624 |
L(r)(E,1)/r! |
Ω |
0.17823728281112 |
Real period |
R |
10.807335259477 |
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 |
1003c1 |
Quadratic twists by: -59 |