Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990by |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-419269545673359360 = -1 · 224 · 3 · 5 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,149939,-21693295] |
[a1,a2,a3,a4,a6] |
j |
3168685387909439/3563732336640 |
j-invariant |
L |
3.8634885262448 |
L(r)(E,1)/r! |
Ω |
0.16097868859355 |
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 |
74970by1 124950bc1 3570t1 |
Quadratic twists by: -3 5 -7 |