Atkin-Lehner |
2- 5- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75440u |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
8883814400 = 214 · 52 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -2 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-587,3066] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:46:1] |
Generators of the group modulo torsion |
j |
5461074081/2168900 |
j-invariant |
L |
6.5512340826964 |
L(r)(E,1)/r! |
Ω |
1.1830638908164 |
Real period |
R |
1.3843787586243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9430i1 |
Quadratic twists by: -4 |