Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400ja |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-263264256000 = -1 · 214 · 35 · 53 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1007,21743] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:120:1] [-1:144:1] |
Generators of the group modulo torsion |
j |
55087216/128547 |
j-invariant |
L |
13.008914080011 |
L(r)(E,1)/r! |
Ω |
0.68345207810172 |
Real period |
R |
0.95170638139671 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400ck1 27600n1 110400hh1 |
Quadratic twists by: -4 8 5 |