Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11840c |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
4966055936000 = 230 · 53 · 37 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 0 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4801,-68415] |
[a1,a2,a3,a4,a6] |
Generators |
[-441264:2693667:24389] |
Generators of the group modulo torsion |
j |
46694890801/18944000 |
j-invariant |
L |
6.4821829998686 |
L(r)(E,1)/r! |
Ω |
0.59418239177145 |
Real period |
R |
10.90941618203 |
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 |
11840z1 370d1 106560cp1 59200bf1 |
Quadratic twists by: -4 8 -3 5 |