Atkin-Lehner |
3+ 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
65415d |
Isogeny class |
Conductor |
65415 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1099429905 = 3 · 5 · 77 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9556,-363532] |
[a1,a2,a3,a4,a6] |
j |
820288712881/9345 |
j-invariant |
L |
0.96574078608515 |
L(r)(E,1)/r! |
Ω |
0.48287039515171 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9345g1 |
Quadratic twists by: -7 |