Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072bo |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-2459959296 = -1 · 221 · 3 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 -2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,255,1887] |
[a1,a2,a3,a4,a6] |
Generators |
[41:288:1] |
Generators of the group modulo torsion |
j |
6967871/9384 |
j-invariant |
L |
6.3720991295601 |
L(r)(E,1)/r! |
Ω |
0.97692186347136 |
Real period |
R |
3.2613146278795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072ci1 2346h1 |
Quadratic twists by: -4 8 |