Atkin-Lehner |
2+ 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29450c |
Isogeny class |
Conductor |
29450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
11780000000 = 28 · 57 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1667,-25259] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:23:1] [579:13598:1] |
Generators of the group modulo torsion |
j |
32798729601/753920 |
j-invariant |
L |
6.2171356018548 |
L(r)(E,1)/r! |
Ω |
0.74818900621955 |
Real period |
R |
4.1547894650774 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5890h1 |
Quadratic twists by: 5 |