Atkin-Lehner |
2+ 3- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
26166k |
Isogeny class |
Conductor |
26166 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
3546321101568 = 28 · 33 · 78 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -3 -2 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10855,-426646] |
[a1,a2,a3,a4,a6] |
Generators |
[151:1100:1] |
Generators of the group modulo torsion |
j |
24534169513/615168 |
j-invariant |
L |
5.3828425798739 |
L(r)(E,1)/r! |
Ω |
0.46844745455866 |
Real period |
R |
0.63837855683245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78498bm1 26166b1 |
Quadratic twists by: -3 -7 |