Atkin-Lehner |
2- 3+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240cc |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.148717136E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9658880,-11435289600] |
[a1,a2,a3,a4,a6] |
j |
24330112701184974942721/280448519531250000 |
j-invariant |
L |
1.0283754192994 |
L(r)(E,1)/r! |
Ω |
0.08569795054734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9030bc3 |
Quadratic twists by: -4 |