Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12144bp |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
Δ |
2.2482325033687E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-710084,-31864680] |
[a1,a2,a3,a4,a6] |
Generators |
[967:13662:1] |
Generators of the group modulo torsion |
j |
154672654658139268432/87821582162841747 |
j-invariant |
L |
5.3377721319509 |
L(r)(E,1)/r! |
Ω |
0.17759697467899 |
Real period |
R |
0.45538689765844 |
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 |
3036b2 48576cf2 36432bk2 |
Quadratic twists by: -4 8 -3 |