Atkin-Lehner |
3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129285bc |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-351624176044171875 = -1 · 313 · 56 · 132 · 174 |
Discriminant |
Eigenvalues |
2 3- 5- -1 -2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-580827,172751985] |
[a1,a2,a3,a4,a6] |
Generators |
[3634:13001:8] |
Generators of the group modulo torsion |
j |
-175893531604750336/2854069171875 |
j-invariant |
L |
14.133024611009 |
L(r)(E,1)/r! |
Ω |
0.30359280859446 |
Real period |
R |
1.9396902944598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43095n1 129285u1 |
Quadratic twists by: -3 13 |