Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10725a |
Isogeny class |
Conductor |
10725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
25880765625 = 34 · 56 · 112 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10725,423000] |
[a1,a2,a3,a4,a6] |
Generators |
[56:16:1] |
Generators of the group modulo torsion |
j |
8732907467857/1656369 |
j-invariant |
L |
4.3080930320929 |
L(r)(E,1)/r! |
Ω |
1.1556608003909 |
Real period |
R |
1.8639089560863 |
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 |
32175p2 429b2 117975q2 |
Quadratic twists by: -3 5 -11 |