Atkin-Lehner |
2+ 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
28200k |
Isogeny class |
Conductor |
28200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-7319521500000000 = -1 · 28 · 3 · 59 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70508,8275488] |
[a1,a2,a3,a4,a6] |
j |
-9691367618896/1829880375 |
j-invariant |
L |
0.80321475298227 |
L(r)(E,1)/r! |
Ω |
0.40160737649083 |
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 |
56400f1 84600bu1 5640f1 |
Quadratic twists by: -4 -3 5 |