Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600bb |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
-19314944000 = -1 · 211 · 53 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 11+ -3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-648,-9008] |
[a1,a2,a3,a4,a6] |
Generators |
[42:190:1] |
Generators of the group modulo torsion |
j |
-117727738/75449 |
j-invariant |
L |
3.2768646246216 |
L(r)(E,1)/r! |
Ω |
0.45978101712398 |
Real period |
R |
0.59391762985545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41800k1 83600ba1 |
Quadratic twists by: -4 5 |