Atkin-Lehner |
3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129591r |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
38660766506826849 = 39 · 72 · 119 · 17 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11+ -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-86598,-2570265] |
[a1,a2,a3,a4,a6] |
Generators |
[-282:5433:8] |
Generators of the group modulo torsion |
j |
41781923/22491 |
j-invariant |
L |
4.9380544264563 |
L(r)(E,1)/r! |
Ω |
0.29630491990716 |
Real period |
R |
4.1663621760464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999654636 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43197n1 129591h1 |
Quadratic twists by: -3 -11 |