Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43320h |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-452522567868750000 = -1 · 24 · 34 · 58 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,109985,29125012] |
[a1,a2,a3,a4,a6] |
Generators |
[-176:2070:1] |
Generators of the group modulo torsion |
j |
195469297664/601171875 |
j-invariant |
L |
6.1241787066136 |
L(r)(E,1)/r! |
Ω |
0.20927754168765 |
Real period |
R |
3.6579287588784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86640bb1 129960ch1 2280i1 |
Quadratic twists by: -4 -3 -19 |