Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
990g |
Isogeny class |
Conductor |
990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
326923683102720000 = 228 · 311 · 54 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-362394,-79244492] |
[a1,a2,a3,a4,a6] |
j |
7220044159551112609/448454983680000 |
j-invariant |
L |
1.5627173169572 |
L(r)(E,1)/r! |
Ω |
0.19533966461966 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7920bi1 31680q1 330d1 4950bm1 |
Quadratic twists by: -4 8 -3 5 |