Atkin-Lehner |
2+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18400c |
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 |
[12:75:1] |
Generators of the group modulo torsion |
j |
175616/115 |
j-invariant |
L |
7.9672015530712 |
L(r)(E,1)/r! |
Ω |
0.75447102952518 |
Real period |
R |
1.3199979259119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18400j1 36800ch1 3680i1 |
Quadratic twists by: -4 8 5 |