Atkin-Lehner |
2- 5- 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
24310bd |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
19488 |
Modular degree for the optimal curve |
Δ |
449637760 = 27 · 5 · 11 · 13 · 173 |
Discriminant |
Eigenvalues |
2- -3 5- 2 11- 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-192,99] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:17:1] |
Generators of the group modulo torsion |
j |
778941947601/449637760 |
j-invariant |
L |
5.7761965777748 |
L(r)(E,1)/r! |
Ω |
1.418966250494 |
Real period |
R |
0.19384321494487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121550q1 |
Quadratic twists by: 5 |