Atkin-Lehner |
2- 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7524a |
Isogeny class |
Conductor |
7524 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-4966049558448 = -1 · 24 · 39 · 112 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11+ 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2160,-113967] |
[a1,a2,a3,a4,a6] |
j |
-3538944000/15768841 |
j-invariant |
L |
1.9073468624733 |
L(r)(E,1)/r! |
Ω |
0.31789114374556 |
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 |
30096q1 120384h1 7524c1 82764d1 |
Quadratic twists by: -4 8 -3 -11 |