Atkin-Lehner |
3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
12705h |
Isogeny class |
Conductor |
12705 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.2138977419353E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7505149,-5876790559] |
[a1,a2,a3,a4,a6] |
j |
19827475353801179/5148111413025 |
j-invariant |
L |
1.1156136362607 |
L(r)(E,1)/r! |
Ω |
0.092967803021723 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38115v2 63525k2 88935z2 12705j2 |
Quadratic twists by: -3 5 -7 -11 |