Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232bx |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
71119132102656 = 212 · 34 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16617,712215] |
[a1,a2,a3,a4,a6] |
Generators |
[45:240:1] |
Generators of the group modulo torsion |
j |
69934528/9801 |
j-invariant |
L |
7.2664338637136 |
L(r)(E,1)/r! |
Ω |
0.59156238275615 |
Real period |
R |
3.0708654216055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23232n2 11616t1 69696cq2 2112k2 |
Quadratic twists by: -4 8 -3 -11 |