Atkin-Lehner |
2- 7- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120176z |
Isogeny class |
Conductor |
120176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1621526176858112 = 218 · 78 · 29 · 37 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5860811,5461156986] |
[a1,a2,a3,a4,a6] |
Generators |
[1055:21266:1] |
Generators of the group modulo torsion |
j |
5435467626871851976737/395880414272 |
j-invariant |
L |
6.141579268356 |
L(r)(E,1)/r! |
Ω |
0.3604825287705 |
Real period |
R |
2.129638311096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000024979 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15022h3 |
Quadratic twists by: -4 |