Atkin-Lehner |
3- 5+ 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
75555d |
Isogeny class |
Conductor |
75555 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4457944401271025625 = 314 · 54 · 234 · 732 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-495945,88171200] |
[a1,a2,a3,a4,a6] |
j |
18505346649413803921/6115150070330625 |
j-invariant |
L |
3.6164724578399 |
L(r)(E,1)/r! |
Ω |
0.22602952522722 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25185f2 |
Quadratic twists by: -3 |