Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47025ba |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
25188665712890625 = 310 · 510 · 112 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-221630,-39371628] |
[a1,a2,a3,a4,a6] |
Generators |
[-252:780:1] |
Generators of the group modulo torsion |
j |
105696342689041/2211350625 |
j-invariant |
L |
3.6900086892354 |
L(r)(E,1)/r! |
Ω |
0.22031552916047 |
Real period |
R |
4.1871863314611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15675b2 9405h2 |
Quadratic twists by: -3 5 |