Atkin-Lehner |
3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
25773j |
Isogeny class |
Conductor |
25773 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-539274730845407139 = -1 · 32 · 119 · 714 |
Discriminant |
Eigenvalues |
1 3- 2 2 11+ 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-412250,107798051] |
[a1,a2,a3,a4,a6] |
j |
-3286018652363/228705129 |
j-invariant |
L |
5.1730439035451 |
L(r)(E,1)/r! |
Ω |
0.28739132797475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77319l2 25773k2 |
Quadratic twists by: -3 -11 |