Atkin-Lehner |
2- 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
24780l |
Isogeny class |
Conductor |
24780 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4.477748571167E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14223601,-38251640476] |
[a1,a2,a3,a4,a6] |
j |
-19889892824026888160886784/27985928569793701171875 |
j-invariant |
L |
1.9968156027733 |
L(r)(E,1)/r! |
Ω |
0.036978066718025 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120bj3 74340y3 123900b3 |
Quadratic twists by: -4 -3 5 |