Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24528t |
Isogeny class |
Conductor |
24528 |
Conductor |
∏ cp |
138 |
Product of Tamagawa factors cp |
deg |
24773760 |
Modular degree for the optimal curve |
Δ |
-1.6587679642714E+29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,575105512,-18862316263788] |
[a1,a2,a3,a4,a6] |
j |
5135779311915892250749430375/40497264752720201543319552 |
j-invariant |
L |
2.2099900801728 |
L(r)(E,1)/r! |
Ω |
0.016014420870817 |
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 |
3066a1 98112bn1 73584bb1 |
Quadratic twists by: -4 8 -3 |