Atkin-Lehner |
5+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
5395a |
Isogeny class |
Conductor |
5395 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
77119771625 = 53 · 13 · 834 |
Discriminant |
Eigenvalues |
1 0 5+ 0 -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8810,-315809] |
[a1,a2,a3,a4,a6] |
j |
75627399276981369/77119771625 |
j-invariant |
L |
0.49281039040149 |
L(r)(E,1)/r! |
Ω |
0.49281039040149 |
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 |
86320n4 48555j4 26975b4 70135h4 |
Quadratic twists by: -4 -3 5 13 |