Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400dy |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
18753525000000 = 26 · 37 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-308325,-65896000] |
[a1,a2,a3,a4,a6] |
j |
4446542056384/25725 |
j-invariant |
L |
2.4312452285337 |
L(r)(E,1)/r! |
Ω |
0.20260376908922 |
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 |
50400dk1 100800og2 16800l1 10080o1 |
Quadratic twists by: -4 8 -3 5 |