Atkin-Lehner |
2- 3- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
99180m |
Isogeny class |
Conductor |
99180 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
156096186981120 = 28 · 36 · 5 · 193 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18543,763702] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:7771:8] |
Generators of the group modulo torsion |
j |
3778298043856/836420755 |
j-invariant |
L |
7.2083645722872 |
L(r)(E,1)/r! |
Ω |
0.54376663447893 |
Real period |
R |
4.4187856350935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999895278 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
11020e2 |
Quadratic twists by: -3 |