Atkin-Lehner |
2+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
5624a |
Isogeny class |
Conductor |
5624 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
1971009536 = 211 · 19 · 373 |
Discriminant |
Eigenvalues |
2+ -2 3 0 -1 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1384,19248] |
[a1,a2,a3,a4,a6] |
Generators |
[11:74:1] |
Generators of the group modulo torsion |
j |
143256979154/962407 |
j-invariant |
L |
3.2961680940571 |
L(r)(E,1)/r! |
Ω |
1.4836792375179 |
Real period |
R |
0.74053924206499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11248a1 44992f1 50616i1 106856c1 |
Quadratic twists by: -4 8 -3 -19 |