Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10725i |
Isogeny class |
Conductor |
10725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.4989590291487E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2049938,-682999383] |
[a1,a2,a3,a4,a6] |
Generators |
[-429:11055:1] |
Generators of the group modulo torsion |
j |
60971359344939402841/22393337786551875 |
j-invariant |
L |
2.8012432279271 |
L(r)(E,1)/r! |
Ω |
0.13006312904701 |
Real period |
R |
5.3843915036724 |
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 |
32175h4 2145d3 117975bx4 |
Quadratic twists by: -3 5 -11 |