Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040fh |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
885473433600000000 = 217 · 3 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1270145,-548683743] |
[a1,a2,a3,a4,a6] |
j |
14695548366242/57421875 |
j-invariant |
L |
2.275926614587 |
L(r)(E,1)/r! |
Ω |
0.14224541341695 |
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 |
47040do6 11760y5 6720ca5 |
Quadratic twists by: -4 8 -7 |