Atkin-Lehner |
2- 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44460c |
Isogeny class |
Conductor |
44460 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
5056169040 = 24 · 39 · 5 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,-11151] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:17:1] |
Generators of the group modulo torsion |
j |
322486272/16055 |
j-invariant |
L |
6.3278711724968 |
L(r)(E,1)/r! |
Ω |
0.85767589896928 |
Real period |
R |
2.4593093887393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44460a1 |
Quadratic twists by: -3 |