Atkin-Lehner |
3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129591w |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-802771334331813 = -1 · 313 · 7 · 114 · 173 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 11- -2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18490,-964686] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1698:1] |
Generators of the group modulo torsion |
j |
65502548375/75213117 |
j-invariant |
L |
3.8902815010659 |
L(r)(E,1)/r! |
Ω |
0.27078344841348 |
Real period |
R |
2.3944604327814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999552653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43197h1 129591i1 |
Quadratic twists by: -3 -11 |