Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040dz |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-2116800 = -1 · 26 · 33 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19,-69] |
[a1,a2,a3,a4,a6] |
Generators |
[6:15:1] |
Generators of the group modulo torsion |
j |
229376/675 |
j-invariant |
L |
3.6814021583489 |
L(r)(E,1)/r! |
Ω |
1.3375146055657 |
Real period |
R |
1.3762100776404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47040cc1 11760cn1 47040go1 |
Quadratic twists by: -4 8 -7 |