Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840bp |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
27955200 = 212 · 3 · 52 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2280,42672] |
[a1,a2,a3,a4,a6] |
Generators |
[29:10:1] |
Generators of the group modulo torsion |
j |
320153881321/6825 |
j-invariant |
L |
4.4148603700719 |
L(r)(E,1)/r! |
Ω |
1.9422379654653 |
Real period |
R |
1.1365395097233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1365f1 87360gc1 65520dd1 109200ff1 |
Quadratic twists by: -4 8 -3 5 |