Atkin-Lehner |
3+ 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12441b |
Isogeny class |
Conductor |
12441 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-735776826253072461 = -1 · 32 · 112 · 1312 · 29 |
Discriminant |
Eigenvalues |
1 3+ -2 4 11+ 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,67874,-40676315] |
[a1,a2,a3,a4,a6] |
Generators |
[2406767370:-202954688999:343000] |
Generators of the group modulo torsion |
j |
34579924974569256983/735776826253072461 |
j-invariant |
L |
4.3747406953515 |
L(r)(E,1)/r! |
Ω |
0.13832079992439 |
Real period |
R |
10.542499025798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37323k3 |
Quadratic twists by: -3 |