Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608v |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5299935117312 = 222 · 3 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17249,-859167] |
[a1,a2,a3,a4,a6] |
Generators |
[-1887:260:27] |
Generators of the group modulo torsion |
j |
2165213540953/20217648 |
j-invariant |
L |
4.5104318692101 |
L(r)(E,1)/r! |
Ω |
0.41682258259627 |
Real period |
R |
5.4104935736673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000133506 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608cz2 3894d2 |
Quadratic twists by: -4 8 |