Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872q |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4686403566265344 = 210 · 38 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-117224,-15131964] |
[a1,a2,a3,a4,a6] |
Generators |
[-200:594:1] |
Generators of the group modulo torsion |
j |
1478729816932/38900169 |
j-invariant |
L |
4.9091342995195 |
L(r)(E,1)/r! |
Ω |
0.25842963036702 |
Real period |
R |
1.1872512191587 |
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 |
12936t2 103488gj2 77616ck2 3696d2 |
Quadratic twists by: -4 8 -3 -7 |