Atkin-Lehner |
2- 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
480f |
Isogeny class |
Conductor |
480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64 |
Modular degree for the optimal curve |
Δ |
129600 = 26 · 34 · 52 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30,72] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:10:1] |
Generators of the group modulo torsion |
j |
48228544/2025 |
j-invariant |
L |
1.683613641418 |
L(r)(E,1)/r! |
Ω |
3.2610572383589 |
Real period |
R |
1.0325569398869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
480h1 960m2 1440e1 2400k1 |
Quadratic twists by: -4 8 -3 5 |