Atkin-Lehner |
2- 5- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89900i |
Isogeny class |
Conductor |
89900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-857027488000 = -1 · 28 · 53 · 29 · 314 |
Discriminant |
Eigenvalues |
2- 2 5- 4 -4 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-828,45752] |
[a1,a2,a3,a4,a6] |
Generators |
[2:210:1] |
Generators of the group modulo torsion |
j |
-1964215568/26782109 |
j-invariant |
L |
10.397399434314 |
L(r)(E,1)/r! |
Ω |
0.75370966604096 |
Real period |
R |
2.299161048092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89900j2 |
Quadratic twists by: 5 |