Atkin-Lehner |
2- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472cm |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6580224 |
Modular degree for the optimal curve |
Δ |
204809131364712448 = 222 · 7 · 178 |
Discriminant |
Eigenvalues |
2- 1 4 7+ 0 2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22121601,40039893887] |
[a1,a2,a3,a4,a6] |
Generators |
[66187802:2203625:24389] |
Generators of the group modulo torsion |
j |
654699641761/112 |
j-invariant |
L |
11.617084907772 |
L(r)(E,1)/r! |
Ω |
0.24916360281098 |
Real period |
R |
7.770720834549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000094968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472bo1 32368r1 129472dd1 |
Quadratic twists by: -4 8 17 |