Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608bq |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1878785593344 = 212 · 32 · 114 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19049,-1016169] |
[a1,a2,a3,a4,a6] |
Generators |
[511:11088:1] |
Generators of the group modulo torsion |
j |
186639304825792/458687889 |
j-invariant |
L |
4.8680564417436 |
L(r)(E,1)/r! |
Ω |
0.40643747905049 |
Real period |
R |
2.9943452755463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997143508 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
124608j2 62304t1 |
Quadratic twists by: -4 8 |