Atkin-Lehner |
2+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200f |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2772541520000000 = 210 · 57 · 72 · 294 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-137675,19498250] |
[a1,a2,a3,a4,a6] |
Generators |
[-6405:168200:27] [-59:5236:1] |
Generators of the group modulo torsion |
j |
18037194355044/173283845 |
j-invariant |
L |
9.6698370623937 |
L(r)(E,1)/r! |
Ω |
0.45570386734553 |
Real period |
R |
2.6524454133304 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000179 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40600g4 16240h3 |
Quadratic twists by: -4 5 |