Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200b |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1849600000000 = -1 · 214 · 58 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 -2 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2300,78000] |
[a1,a2,a3,a4,a6] |
Generators |
[20:200:1] |
Generators of the group modulo torsion |
j |
-5256144/7225 |
j-invariant |
L |
5.3792212797966 |
L(r)(E,1)/r! |
Ω |
0.75181877861443 |
Real period |
R |
1.7887360068706 |
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 |
27200bs2 1700a2 5440i2 |
Quadratic twists by: -4 8 5 |