Atkin-Lehner |
2- 3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12090bk |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
1512 |
Product of Tamagawa factors cp |
Δ |
49715021588544000 = 29 · 314 · 53 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-359695,82306937] |
[a1,a2,a3,a4,a6] |
Generators |
[-256:-12427:1] |
Generators of the group modulo torsion |
j |
5146677912258698240881/49715021588544000 |
j-invariant |
L |
8.2713482714911 |
L(r)(E,1)/r! |
Ω |
0.35826742607195 |
Real period |
R |
0.061076927852517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96720cn2 36270u2 60450c2 |
Quadratic twists by: -4 -3 5 |