Atkin-Lehner |
2- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
47200x |
Isogeny class |
Conductor |
47200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34080 |
Modular degree for the optimal curve |
Δ |
-11800000000 = -1 · 29 · 58 · 59 |
Discriminant |
Eigenvalues |
2- 0 5- 4 3 5 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-875,-11250] |
[a1,a2,a3,a4,a6] |
Generators |
[94653:386946:2197] |
Generators of the group modulo torsion |
j |
-370440/59 |
j-invariant |
L |
7.4326357159333 |
L(r)(E,1)/r! |
Ω |
0.43509278250964 |
Real period |
R |
8.5414376136704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47200y1 94400dk1 47200b1 |
Quadratic twists by: -4 8 5 |