Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10725a |
Isogeny class |
Conductor |
10725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
20109375 = 32 · 56 · 11 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-171600,27289125] |
[a1,a2,a3,a4,a6] |
Generators |
[2110:4395:8] |
Generators of the group modulo torsion |
j |
35765103905346817/1287 |
j-invariant |
L |
4.3080930320929 |
L(r)(E,1)/r! |
Ω |
1.1556608003909 |
Real period |
R |
3.7278179121727 |
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 |
32175p4 429b4 117975q4 |
Quadratic twists by: -3 5 -11 |