Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
11844b |
Isogeny class |
Conductor |
11844 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
48749904 = 24 · 33 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96,-135] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:11:1] [-2:7:1] |
Generators of the group modulo torsion |
j |
226492416/112847 |
j-invariant |
L |
5.7515768168566 |
L(r)(E,1)/r! |
Ω |
1.6059196291028 |
Real period |
R |
0.5969141411381 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47376v1 11844a1 82908a1 |
Quadratic twists by: -4 -3 -7 |