Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600cp |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-1331000000 = -1 · 26 · 56 · 113 |
Discriminant |
Eigenvalues |
2- 3 5+ 0 11- -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,50,-1750] |
[a1,a2,a3,a4,a6] |
Generators |
[543:2321:27] |
Generators of the group modulo torsion |
j |
13824/1331 |
j-invariant |
L |
8.5832585984186 |
L(r)(E,1)/r! |
Ω |
0.7239553558923 |
Real period |
R |
3.9520202125537 |
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 |
17600ca1 8800d1 704l1 |
Quadratic twists by: -4 8 5 |