Atkin-Lehner |
2- 3- 5+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
42090t |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
112302012600 = 23 · 38 · 52 · 23 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1496,15240] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:-134:1] |
Generators of the group modulo torsion |
j |
370285440928129/112302012600 |
j-invariant |
L |
9.5080048774693 |
L(r)(E,1)/r! |
Ω |
0.97689524173966 |
Real period |
R |
0.4055366972499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126270q2 |
Quadratic twists by: -3 |