Atkin-Lehner |
2- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200cc |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18096128000000 = 219 · 56 · 472 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 2 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15500,714000] |
[a1,a2,a3,a4,a6] |
j |
100544625/4418 |
j-invariant |
L |
1.3655341899871 |
L(r)(E,1)/r! |
Ω |
0.68276708166104 |
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 |
75200p2 18800p2 3008b2 |
Quadratic twists by: -4 8 5 |