Atkin-Lehner |
2- 3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40920bb |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
21942858960 = 24 · 33 · 5 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-815,-5160] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:28:1] |
Generators of the group modulo torsion |
j |
3746358409216/1371428685 |
j-invariant |
L |
6.0118174489977 |
L(r)(E,1)/r! |
Ω |
0.92085632024558 |
Real period |
R |
3.2642537803255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840ba1 122760j1 |
Quadratic twists by: -4 -3 |