Atkin-Lehner |
2- 3+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62244c |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-1291438512 = -1 · 24 · 33 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36,-1727] |
[a1,a2,a3,a4,a6] |
Generators |
[14:39:1] |
Generators of the group modulo torsion |
j |
11943936/2989441 |
j-invariant |
L |
7.1646185921625 |
L(r)(E,1)/r! |
Ω |
0.71900314321317 |
Real period |
R |
0.83038795446753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62244d1 |
Quadratic twists by: -3 |