Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040d |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
21337344000000 = 214 · 35 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35121,2535345] |
[a1,a2,a3,a4,a6] |
j |
852555455152/3796875 |
j-invariant |
L |
1.3678260396303 |
L(r)(E,1)/r! |
Ω |
0.6839130199381 |
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 |
47040ft2 5880bh2 47040de2 |
Quadratic twists by: -4 8 -7 |