Atkin-Lehner |
2- 3- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45240s |
Isogeny class |
Conductor |
45240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
458997077760000 = 211 · 3 · 54 · 132 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28640,-1564512] |
[a1,a2,a3,a4,a6] |
Generators |
[1578:5655:8] |
Generators of the group modulo torsion |
j |
1268609515369922/224119666875 |
j-invariant |
L |
6.0813456158339 |
L(r)(E,1)/r! |
Ω |
0.3714343659073 |
Real period |
R |
2.0465747700073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480g4 |
Quadratic twists by: -4 |