Atkin-Lehner |
2- 3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44460q |
Isogeny class |
Conductor |
44460 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
23760 |
Modular degree for the optimal curve |
Δ |
-2434451760 = -1 · 24 · 36 · 5 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 6 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,168,2221] |
[a1,a2,a3,a4,a6] |
j |
44957696/208715 |
j-invariant |
L |
3.1197771613357 |
L(r)(E,1)/r! |
Ω |
1.0399257204121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4940d1 |
Quadratic twists by: -3 |