Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040hf |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
63248102400 = 210 · 3 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34365,2440563] |
[a1,a2,a3,a4,a6] |
Generators |
[1738:18375:8] |
Generators of the group modulo torsion |
j |
37256083456/525 |
j-invariant |
L |
7.4995227071898 |
L(r)(E,1)/r! |
Ω |
1.0088635322238 |
Real period |
R |
3.716817224349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040bm1 11760e1 6720bm1 |
Quadratic twists by: -4 8 -7 |