Atkin-Lehner |
2+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64288f |
Isogeny class |
Conductor |
64288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
17287814656 = 29 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ 3 3 7- 2 4 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-931,8918] |
[a1,a2,a3,a4,a6] |
j |
1481544/287 |
j-invariant |
L |
9.3494155047808 |
L(r)(E,1)/r! |
Ω |
1.1686769382749 |
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 |
64288p1 128576bb1 9184b1 |
Quadratic twists by: -4 8 -7 |