Atkin-Lehner |
2- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
19844a |
Isogeny class |
Conductor |
19844 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2448 |
Modular degree for the optimal curve |
Δ |
-873136 = -1 · 24 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 0 -3 -1 11+ 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44,121] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:13:1] [0:11:1] |
Generators of the group modulo torsion |
j |
-442368/41 |
j-invariant |
L |
6.1833723817928 |
L(r)(E,1)/r! |
Ω |
2.7444470251492 |
Real period |
R |
0.37550809113397 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79376m1 19844b1 |
Quadratic twists by: -4 -11 |