Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576dg |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-35716681728 = -1 · 212 · 34 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 5 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,320,-8716] |
[a1,a2,a3,a4,a6] |
Generators |
[20:78:1] |
Generators of the group modulo torsion |
j |
17999471/177957 |
j-invariant |
L |
5.1077193586855 |
L(r)(E,1)/r! |
Ω |
0.57222525524087 |
Real period |
R |
0.37191934119658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1911b1 122304fs1 91728gf1 30576bj1 |
Quadratic twists by: -4 8 -3 -7 |