Atkin-Lehner |
2- 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150bw |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
55545000000 = 26 · 3 · 57 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1588,-22219] |
[a1,a2,a3,a4,a6] |
j |
28344726649/3554880 |
j-invariant |
L |
4.5750980928307 |
L(r)(E,1)/r! |
Ω |
0.76251634880512 |
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 |
72450br1 4830i1 |
Quadratic twists by: -3 5 |