Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17600cx |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1090355200000000 = -1 · 221 · 58 · 113 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11+ -5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36833,3138463] |
[a1,a2,a3,a4,a6] |
Generators |
[183:1600:1] |
Generators of the group modulo torsion |
j |
-53969305/10648 |
j-invariant |
L |
3.3909600079772 |
L(r)(E,1)/r! |
Ω |
0.47008835247829 |
Real period |
R |
0.60112104283165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17600bh2 4400bc2 17600bw2 |
Quadratic twists by: -4 8 5 |