Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360gc |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
1789132800 = 218 · 3 · 52 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9121,332255] |
[a1,a2,a3,a4,a6] |
j |
320153881321/6825 |
j-invariant |
L |
2.7467392781447 |
L(r)(E,1)/r! |
Ω |
1.3733696360585 |
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 |
87360e1 21840bp1 |
Quadratic twists by: -4 8 |