Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280es |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-1549546536960 = -1 · 214 · 39 · 5 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,132,59888] |
[a1,a2,a3,a4,a6] |
j |
21296/129735 |
j-invariant |
L |
2.6662661006325 |
L(r)(E,1)/r! |
Ω |
0.66656654207333 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280be1 22320r1 29760cc1 |
Quadratic twists by: -4 8 -3 |