Atkin-Lehner |
2- 3+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45240o |
Isogeny class |
Conductor |
45240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
423689610240 = 210 · 32 · 5 · 13 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12760,-549668] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:14:1] |
Generators of the group modulo torsion |
j |
224393262968164/413759385 |
j-invariant |
L |
6.0325841448813 |
L(r)(E,1)/r! |
Ω |
0.4492438637933 |
Real period |
R |
3.3570765407594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480r4 |
Quadratic twists by: -4 |