Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13794r |
Isogeny class |
Conductor |
13794 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
122842137268224 = 212 · 34 · 117 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-45257,-3670900] |
[a1,a2,a3,a4,a6] |
j |
5786435182177/69341184 |
j-invariant |
L |
2.6204984447081 |
L(r)(E,1)/r! |
Ω |
0.32756230558851 |
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 |
110352bb1 41382cl1 1254i1 |
Quadratic twists by: -4 -3 -11 |