Atkin-Lehner |
2- 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240cr |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1734085946880000 = 212 · 38 · 54 · 74 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2294656,1337136500] |
[a1,a2,a3,a4,a6] |
j |
326224607904438542209/423360826875 |
j-invariant |
L |
3.1958888261817 |
L(r)(E,1)/r! |
Ω |
0.39948610427489 |
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 |
4515a3 |
Quadratic twists by: -4 |