Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
24990bw |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-3720998895468750 = -1 · 2 · 35 · 57 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9311,2954391] |
[a1,a2,a3,a4,a6] |
j |
-15485715889/645468750 |
j-invariant |
L |
5.5176628293178 |
L(r)(E,1)/r! |
Ω |
0.36784418862119 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74970bk1 124950b1 24990bn1 |
Quadratic twists by: -3 5 -7 |