Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200k |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-115600000000000000 = -1 · 216 · 514 · 172 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 2 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-352033,-81924063] |
[a1,a2,a3,a4,a6] |
Generators |
[401795151:24678750000:103823] |
Generators of the group modulo torsion |
j |
-4711672753924/112890625 |
j-invariant |
L |
7.4257979237122 |
L(r)(E,1)/r! |
Ω |
0.097860748891067 |
Real period |
R |
9.4851587687855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27200cd2 3400d2 5440d2 |
Quadratic twists by: -4 8 5 |