Atkin-Lehner |
2- 3- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
24090m |
Isogeny class |
Conductor |
24090 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-2318132520 = -1 · 23 · 38 · 5 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 2 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,330,-180] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-318:1] |
Generators of the group modulo torsion |
j |
3973592034719/2318132520 |
j-invariant |
L |
9.7743647797783 |
L(r)(E,1)/r! |
Ω |
0.85925401727927 |
Real period |
R |
0.23698766078917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72270m1 120450c1 |
Quadratic twists by: -3 5 |