Atkin-Lehner |
2+ 7- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9758d |
Isogeny class |
Conductor |
9758 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
1980992032768 = 212 · 74 · 173 · 41 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 4 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3151,-6291] |
[a1,a2,a3,a4,a6] |
j |
3460560508171593/1980992032768 |
j-invariant |
L |
1.3816410458548 |
L(r)(E,1)/r! |
Ω |
0.69082052292742 |
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 |
78064b1 87822by1 68306m1 |
Quadratic twists by: -4 -3 -7 |