Atkin-Lehner |
2- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
85696bn |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
702021632 = 219 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 2 0 5 3 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,-24831] |
[a1,a2,a3,a4,a6] |
j |
1838265625/2678 |
j-invariant |
L |
6.0083999080393 |
L(r)(E,1)/r! |
Ω |
0.75104998957315 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85696r1 21424q1 |
Quadratic twists by: -4 8 |