Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200ce |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
578125000000 = 26 · 512 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 1 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4283,102937] |
[a1,a2,a3,a4,a6] |
j |
8690991616/578125 |
j-invariant |
L |
1.8045067071473 |
L(r)(E,1)/r! |
Ω |
0.90225335421347 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200ca1 29600c1 11840bb1 |
Quadratic twists by: -4 8 5 |