Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600r |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
242000000000 = 210 · 59 · 112 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4533,113563] |
[a1,a2,a3,a4,a6] |
j |
643956736/15125 |
j-invariant |
L |
1.9736090226092 |
L(r)(E,1)/r! |
Ω |
0.9868045113046 |
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 |
17600bv1 1100b1 3520g1 |
Quadratic twists by: -4 8 5 |