Atkin-Lehner |
2- 3+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24528i |
Isogeny class |
Conductor |
24528 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4060800 |
Modular degree for the optimal curve |
Δ |
-4506836950086912 = -1 · 28 · 315 · 75 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ -6 3 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-200206756,1090417438108] |
[a1,a2,a3,a4,a6] |
j |
-3466729332466825523374801744/17604831836277 |
j-invariant |
L |
1.8922160928039 |
L(r)(E,1)/r! |
Ω |
0.21024623253376 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6132f1 98112bw1 73584v1 |
Quadratic twists by: -4 8 -3 |