Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280dc |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-3373717782528000 = -1 · 225 · 33 · 53 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35892,-979568] |
[a1,a2,a3,a4,a6] |
j |
722458663317/476656000 |
j-invariant |
L |
2.0341568897108 |
L(r)(E,1)/r! |
Ω |
0.25426960198319 |
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 |
89280j1 22320z1 89280do2 |
Quadratic twists by: -4 8 -3 |