Atkin-Lehner |
3- 5- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16815d |
Isogeny class |
Conductor |
16815 |
Conductor |
∏ cp |
510 |
Product of Tamagawa factors cp |
deg |
1142400 |
Modular degree for the optimal curve |
Δ |
-2.9478227936538E+20 |
Discriminant |
Eigenvalues |
0 3- 5- -5 0 -5 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3109535,2265392339] |
[a1,a2,a3,a4,a6] |
Generators |
[-1709:50902:1] [31656333081769:-815528131958633:18546494023] |
Generators of the group modulo torsion |
j |
-3325142027831979085889536/294782279365376296875 |
j-invariant |
L |
6.5991318387416 |
L(r)(E,1)/r! |
Ω |
0.16911181197796 |
Real period |
R |
0.076514313472665 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50445a1 84075d1 |
Quadratic twists by: -3 5 |