Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32490w |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-336856320000 = -1 · 211 · 36 · 54 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 3 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1386,-19980] |
[a1,a2,a3,a4,a6] |
j |
1118413511/1280000 |
j-invariant |
L |
2.0711491762472 |
L(r)(E,1)/r! |
Ω |
0.51778729406314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3610h1 32490bs1 |
Quadratic twists by: -3 -19 |