Atkin-Lehner |
2+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18400j |
Isogeny class |
Conductor |
18400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-7360000000 = -1 · 212 · 57 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5+ -5 2 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,467,1563] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:12:1] [13:100:1] |
Generators of the group modulo torsion |
j |
175616/115 |
j-invariant |
L |
4.7430265841624 |
L(r)(E,1)/r! |
Ω |
0.82749549577691 |
Real period |
R |
0.71647317241736 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18400c1 36800cw1 3680f1 |
Quadratic twists by: -4 8 5 |