Atkin-Lehner |
2- 3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
24180j |
Isogeny class |
Conductor |
24180 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-251331175680 = -1 · 28 · 3 · 5 · 133 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-540,-24780] |
[a1,a2,a3,a4,a6] |
j |
-68150496976/981762405 |
j-invariant |
L |
3.7963265947747 |
L(r)(E,1)/r! |
Ω |
0.42181406608607 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96720ci2 72540u2 120900g2 |
Quadratic twists by: -4 -3 5 |