Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040dt |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
13811004211200000 = 232 · 3 · 55 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68385,-3948225] |
[a1,a2,a3,a4,a6] |
j |
393349474783/153600000 |
j-invariant |
L |
3.0522858940756 |
L(r)(E,1)/r! |
Ω |
0.30522858941495 |
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 |
47040fn1 1470c1 47040w1 |
Quadratic twists by: -4 8 -7 |