Atkin-Lehner |
2- 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
72504bb |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
62976 |
Modular degree for the optimal curve |
Δ |
98980575696 = 24 · 37 · 19 · 533 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -2 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4638,120629] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:477:1] |
Generators of the group modulo torsion |
j |
945950550016/8485989 |
j-invariant |
L |
5.7743402569345 |
L(r)(E,1)/r! |
Ω |
1.0700016473209 |
Real period |
R |
0.22485714048637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24168c1 |
Quadratic twists by: -3 |