Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700p |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-375289200 = -1 · 24 · 38 · 52 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ 13- -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-705,7265] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:117:1] [1:81:1] |
Generators of the group modulo torsion |
j |
-132893440/1287 |
j-invariant |
L |
11.139707813165 |
L(r)(E,1)/r! |
Ω |
1.7024893799796 |
Real period |
R |
0.54526565371207 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999996962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42900i1 128700bm1 |
Quadratic twists by: -3 5 |