Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040fx |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
1.801088541E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-796021,181486955] |
[a1,a2,a3,a4,a6] |
j |
463030539649024/149501953125 |
j-invariant |
L |
2.8212775355074 |
L(r)(E,1)/r! |
Ω |
0.2015198239943 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040i1 11760bw1 6720br1 |
Quadratic twists by: -4 8 -7 |