Atkin-Lehner |
2+ 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576h |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4416271240753152 = -1 · 212 · 318 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 11+ 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11401,3235273] |
[a1,a2,a3,a4,a6] |
Generators |
[1077:35200:1] |
Generators of the group modulo torsion |
j |
-40015725321664/1078191220887 |
j-invariant |
L |
7.0401890642803 |
L(r)(E,1)/r! |
Ω |
0.36510654615745 |
Real period |
R |
4.8206401243497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576bv2 24288p1 |
Quadratic twists by: -4 8 |