Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
3108i |
Isogeny class |
Conductor |
3108 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
7723220136912 = 24 · 34 · 76 · 373 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17913,-919044] |
[a1,a2,a3,a4,a6] |
Generators |
[504:10878:1] |
Generators of the group modulo torsion |
j |
39731316127744000/482701258557 |
j-invariant |
L |
4.0122196524777 |
L(r)(E,1)/r! |
Ω |
0.41297569641179 |
Real period |
R |
0.53974384870835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12432bd3 49728m3 9324g3 77700a3 |
Quadratic twists by: -4 8 -3 5 |