Atkin-Lehner |
3- 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
48321i |
Isogeny class |
Conductor |
48321 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-256052892553731 = -1 · 314 · 7 · 133 · 592 |
Discriminant |
Eigenvalues |
0 3- 1 7+ 2 13- 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-183342,-30226091] |
[a1,a2,a3,a4,a6] |
j |
-934936419326132224/351238535739 |
j-invariant |
L |
1.3842850450156 |
L(r)(E,1)/r! |
Ω |
0.11535708702889 |
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 |
16107b1 |
Quadratic twists by: -3 |