Atkin-Lehner |
2- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
44044n |
Isogeny class |
Conductor |
44044 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
60428368 = 24 · 74 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -3 0 7- 11- 13+ -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-220,-1199] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:1:1] [-8:7:1] |
Generators of the group modulo torsion |
j |
608256000/31213 |
j-invariant |
L |
6.0119039796588 |
L(r)(E,1)/r! |
Ω |
1.2435886089125 |
Real period |
R |
0.40285991260643 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44044j1 |
Quadratic twists by: -11 |