Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872cj |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-27128758272 = -1 · 224 · 3 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93368,-11012268] |
[a1,a2,a3,a4,a6] |
j |
-448504189023625/135168 |
j-invariant |
L |
2.4580581607903 |
L(r)(E,1)/r! |
Ω |
0.13655878671058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3234f2 103488gb2 77616fw2 25872bc2 |
Quadratic twists by: -4 8 -3 -7 |