Atkin-Lehner |
2+ 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8184f |
Isogeny class |
Conductor |
8184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-828209276928 = -1 · 211 · 34 · 115 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 11+ 4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1576,-36048] |
[a1,a2,a3,a4,a6] |
j |
211245177166/404399061 |
j-invariant |
L |
1.8645889813297 |
L(r)(E,1)/r! |
Ω |
0.46614724533242 |
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 |
16368g1 65472f1 24552q1 90024bb1 |
Quadratic twists by: -4 8 -3 -11 |