Atkin-Lehner |
2+ 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
88752d |
Isogeny class |
Conductor |
88752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-7515240959886336 = -1 · 210 · 33 · 437 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 -3 -3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,43760,-2246672] |
[a1,a2,a3,a4,a6] |
j |
1431644/1161 |
j-invariant |
L |
1.8516615382911 |
L(r)(E,1)/r! |
Ω |
0.23145769175366 |
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 |
44376j1 2064c1 |
Quadratic twists by: -4 -43 |