Atkin-Lehner |
2- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
1888a |
Isogeny class |
Conductor |
1888 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
-3776 = -1 · 26 · 59 |
Discriminant |
Eigenvalues |
2- -1 -3 -5 0 -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2,4] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] [0:2:1] |
Generators of the group modulo torsion |
j |
-21952/59 |
j-invariant |
L |
2.5078795226301 |
L(r)(E,1)/r! |
Ω |
3.9011236968022 |
Real period |
R |
0.32143040282035 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1888c1 3776t1 16992e1 47200c1 |
Quadratic twists by: -4 8 -3 5 |