Atkin-Lehner |
2+ 7+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25256a |
Isogeny class |
Conductor |
25256 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1321014422131712 = 210 · 73 · 113 · 414 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9739931,11699894054] |
[a1,a2,a3,a4,a6] |
j |
99791004946958937881028/1290053146613 |
j-invariant |
L |
1.0230222252791 |
L(r)(E,1)/r! |
Ω |
0.34100740842635 |
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 |
50512c4 |
Quadratic twists by: -4 |