Atkin-Lehner |
5+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
5395a |
Isogeny class |
Conductor |
5395 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1608 |
Modular degree for the optimal curve |
Δ |
-296320375 = -1 · 53 · 134 · 83 |
Discriminant |
Eigenvalues |
1 0 5+ 0 -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,160,-325] |
[a1,a2,a3,a4,a6] |
j |
451394172711/296320375 |
j-invariant |
L |
0.49281039040149 |
L(r)(E,1)/r! |
Ω |
0.98562078080299 |
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 |
86320n1 48555j1 26975b1 70135h1 |
Quadratic twists by: -4 -3 5 13 |