Atkin-Lehner |
3- 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
48321j |
Isogeny class |
Conductor |
48321 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-11315376891 = -1 · 36 · 73 · 13 · 592 |
Discriminant |
Eigenvalues |
0 3- 1 7+ 6 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-612,-7756] |
[a1,a2,a3,a4,a6] |
j |
-34773663744/15521779 |
j-invariant |
L |
1.8791329079001 |
L(r)(E,1)/r! |
Ω |
0.4697832270197 |
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 |
5369a1 |
Quadratic twists by: -3 |