Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504s |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6208230023424 = 28 · 34 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5364,90396] |
[a1,a2,a3,a4,a6] |
Generators |
[66:168:1] |
Generators of the group modulo torsion |
j |
37642192/13689 |
j-invariant |
L |
8.035928716745 |
L(r)(E,1)/r! |
Ω |
0.69046111066414 |
Real period |
R |
2.9096239419188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003156 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37752r2 624f2 |
Quadratic twists by: -4 -11 |