Atkin-Lehner |
2- 3+ 7- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882z |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
275640129612288 = 29 · 33 · 7 · 192 · 534 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60680,-5682357] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:297:1] |
Generators of the group modulo torsion |
j |
915145091138671875/10208893689344 |
j-invariant |
L |
12.942671998428 |
L(r)(E,1)/r! |
Ω |
0.30439077167999 |
Real period |
R |
1.1811089533022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024733 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882c2 |
Quadratic twists by: -3 |