Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040gy |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1505280000 = -1 · 214 · 3 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,75,1875] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:15:1] |
Generators of the group modulo torsion |
j |
57344/1875 |
j-invariant |
L |
8.0770178185882 |
L(r)(E,1)/r! |
Ω |
1.1383646831074 |
Real period |
R |
1.7738203623245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47040bg1 11760bm1 47040dw1 |
Quadratic twists by: -4 8 -7 |