Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24120n |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
211001760000 = 28 · 39 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9423,351378] |
[a1,a2,a3,a4,a6] |
j |
18363693168/41875 |
j-invariant |
L |
4.0075989580135 |
L(r)(E,1)/r! |
Ω |
1.0018997395033 |
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 |
48240c2 24120a2 120600d2 |
Quadratic twists by: -4 -3 5 |