Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400cg |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
17222625000000 = 26 · 39 · 59 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-196425,33507000] |
[a1,a2,a3,a4,a6] |
j |
42581671488/875 |
j-invariant |
L |
2.5554379755942 |
L(r)(E,1)/r! |
Ω |
0.63885949385276 |
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 |
50400co1 100800jh1 50400e1 10080g1 |
Quadratic twists by: -4 8 -3 5 |