Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
3108i |
Isogeny class |
Conductor |
3108 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
2027621740693248 = 28 · 32 · 73 · 376 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33348,883764] |
[a1,a2,a3,a4,a6] |
Generators |
[315:4662:1] |
Generators of the group modulo torsion |
j |
16021609721458000/7920397424583 |
j-invariant |
L |
4.0122196524777 |
L(r)(E,1)/r! |
Ω |
0.41297569641179 |
Real period |
R |
1.0794876974167 |
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 |
12432bd4 49728m4 9324g4 77700a4 |
Quadratic twists by: -4 8 -3 5 |