Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
2880t |
Isogeny class |
Conductor |
2880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
3732480 = 210 · 36 · 5 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72,-216] |
[a1,a2,a3,a4,a6] |
Generators |
[10:8:1] |
Generators of the group modulo torsion |
j |
55296/5 |
j-invariant |
L |
3.3003448001466 |
L(r)(E,1)/r! |
Ω |
1.6484296992275 |
Real period |
R |
2.0021143769087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2880bg1 360e1 320b1 14400bp1 |
Quadratic twists by: -4 8 -3 5 |