Atkin-Lehner |
2- 3- 7+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274bo |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
78078676032 = 26 · 36 · 74 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 4 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10455,-412119] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:39:1] |
Generators of the group modulo torsion |
j |
126385840161166321/78078676032 |
j-invariant |
L |
8.0640014808407 |
L(r)(E,1)/r! |
Ω |
0.47215482620135 |
Real period |
R |
0.94884147615994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87822i1 |
Quadratic twists by: -3 |