Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
1482l |
Isogeny class |
Conductor |
1482 |
Conductor |
∏ cp |
486 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
-215384711233536 = -1 · 218 · 39 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -6 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12948,421776] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:96:1] |
Generators of the group modulo torsion |
j |
240065464752030527/215384711233536 |
j-invariant |
L |
3.8121536558447 |
L(r)(E,1)/r! |
Ω |
0.36604694470321 |
Real period |
R |
1.7357307630471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
9 |
Number of elements in the torsion subgroup |
Twists |
11856w1 47424i1 4446j1 37050g1 |
Quadratic twists by: -4 8 -3 5 |