Atkin-Lehner |
2+ 3+ 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
90480g |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
128 |
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 |
[-132:1740:1] |
Generators of the group modulo torsion |
j |
1268609515369922/224119666875 |
j-invariant |
L |
7.2157360846973 |
L(r)(E,1)/r! |
Ω |
0.50200382149184 |
Real period |
R |
1.796733355968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996556 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45240s4 |
Quadratic twists by: -4 |