Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64288q |
Isogeny class |
Conductor |
64288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
847102918144 = 29 · 79 · 41 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -4 -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9032,-330436] |
[a1,a2,a3,a4,a6] |
j |
3944312/41 |
j-invariant |
L |
0.98005899535041 |
L(r)(E,1)/r! |
Ω |
0.49002950237069 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64288h1 128576bn1 64288n1 |
Quadratic twists by: -4 8 -7 |