Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10725i |
Isogeny class |
Conductor |
10725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
189837213134765625 = 32 · 514 · 112 · 134 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1815563,-941515008] |
[a1,a2,a3,a4,a6] |
Generators |
[70589973:3241566426:24389] |
Generators of the group modulo torsion |
j |
42358217070122052841/12149581640625 |
j-invariant |
L |
2.8012432279271 |
L(r)(E,1)/r! |
Ω |
0.13006312904701 |
Real period |
R |
10.768783007345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32175h2 2145d2 117975bx2 |
Quadratic twists by: -3 5 -11 |