Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040i |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
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 |
0.65572134119996 |
L(r)(E,1)/r! |
Ω |
0.16393033524456 |
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 |
47040fx1 2940j1 6720x1 |
Quadratic twists by: -4 8 -7 |