Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
1302l |
Isogeny class |
Conductor |
1302 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
984312 = 23 · 34 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5249664,-4631807703] |
[a1,a2,a3,a4,a6] |
Generators |
[75441:1318621:27] |
Generators of the group modulo torsion |
j |
15999935809592383211759617/984312 |
j-invariant |
L |
3.0095643248171 |
L(r)(E,1)/r! |
Ω |
0.099739383008715 |
Real period |
R |
10.05809418517 |
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 |
10416bl5 41664bt6 3906h5 32550bc6 |
Quadratic twists by: -4 8 -3 5 |