Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600y |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
87362000 = 24 · 53 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 11+ -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-170,-725] |
[a1,a2,a3,a4,a6] |
Generators |
[15:10:1] |
Generators of the group modulo torsion |
j |
271669248/43681 |
j-invariant |
L |
6.1441234636629 |
L(r)(E,1)/r! |
Ω |
1.3365449912048 |
Real period |
R |
2.2985097785206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41800y1 83600z1 |
Quadratic twists by: -4 5 |