Atkin-Lehner |
2- 5- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24310z |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
1707920929000000 = 26 · 56 · 112 · 132 · 174 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11+ 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49407,3742439] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:2876:1] |
Generators of the group modulo torsion |
j |
13337699366784253761/1707920929000000 |
j-invariant |
L |
8.3969073727108 |
L(r)(E,1)/r! |
Ω |
0.45530250714193 |
Real period |
R |
0.51229111054957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121550a2 |
Quadratic twists by: 5 |