Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10725i |
Isogeny class |
Conductor |
10725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
54462890625 = 3 · 510 · 11 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1815438,-941651133] |
[a1,a2,a3,a4,a6] |
Generators |
[-7464307902562161:3733449074708320:9594348501249] |
Generators of the group modulo torsion |
j |
42349468688699229721/3485625 |
j-invariant |
L |
2.8012432279271 |
L(r)(E,1)/r! |
Ω |
0.13006312904701 |
Real period |
R |
21.53756601469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32175h1 2145d1 117975bx1 |
Quadratic twists by: -3 5 -11 |