Atkin-Lehner |
2- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
35600u |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
2278400000000 = 216 · 58 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -4 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3408,23188] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:250:1] [-12:250:1] |
Generators of the group modulo torsion |
j |
68417929/35600 |
j-invariant |
L |
5.6680488508849 |
L(r)(E,1)/r! |
Ω |
0.72126507987173 |
Real period |
R |
1.9646205705306 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4450i1 7120i1 |
Quadratic twists by: -4 5 |