Atkin-Lehner |
2+ 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
74448g |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
448942881024 = 28 · 38 · 112 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6231,186550] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:594:1] |
Generators of the group modulo torsion |
j |
143360488528/2405601 |
j-invariant |
L |
3.5681524625369 |
L(r)(E,1)/r! |
Ω |
0.94022383758442 |
Real period |
R |
1.8975015938308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005012 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37224f2 24816f2 |
Quadratic twists by: -4 -3 |