Atkin-Lehner |
2+ 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050g |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-394453125000 = -1 · 23 · 33 · 510 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2200,49000] |
[a1,a2,a3,a4,a6] |
j |
-120670225/40392 |
j-invariant |
L |
0.89568527158571 |
L(r)(E,1)/r! |
Ω |
0.89568527158565 |
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 |
84150fp1 28050dp1 |
Quadratic twists by: -3 5 |