Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74448m |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-360623572429824 = -1 · 210 · 38 · 11 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12381,744050] |
[a1,a2,a3,a4,a6] |
Generators |
[313:5940:1] |
Generators of the group modulo torsion |
j |
281166385532/483088419 |
j-invariant |
L |
9.6628471101009 |
L(r)(E,1)/r! |
Ω |
0.36821022522335 |
Real period |
R |
3.2803431461725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37224m3 24816b3 |
Quadratic twists by: -4 -3 |